basic_numpy_s.ipynb

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  "metadata": {
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      "authorship_tag": "ABX9TyPUFPDbjWUqTxWmPzCeuDlt",
      "include_colab_link": true
    },
    "kernelspec": {
      "name": "python3",
      "display_name": "Python 3"
    },
    "language_info": {
      "name": "python"
    }
  },
  "cells": [
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "view-in-github",
        "colab_type": "text"
      },
      "source": [
        "<a href=\"https://colab.research.google.com/github/priyeshr7/Data-Science/blob/main/Untitled2.ipynb\" target=\"_parent\"><img src=\"https://colab.research.google.com/assets/colab-badge.svg\" alt=\"Open In Colab\"/></a>"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 2,
      "metadata": {
        "id": "n3MoptFrDviT"
      },
      "outputs": [],
      "source": [
        "import numpy as np"
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "a = np.array([1,2,3,4])\n",
        "print(a\n",
        "      )"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "RK5xcXk8EC5P",
        "outputId": "ed6ed515-75ed-4614-d226-61fb64d1ffab"
      },
      "execution_count": 3,
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "[1 2 3 4]\n"
          ]
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "b = np.array(([1,2,3,4],[2,3,4,5]))\n",
        "print(b)"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "xf8zrZHZEI7I",
        "outputId": "9eee4440-5880-4745-e34f-04c551a46f7c"
      },
      "execution_count": 5,
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "[[1 2 3 4]\n",
            " [2 3 4 5]]\n"
          ]
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "np.array(([1,2,3,4],[2,3,4,5]),dtype=bool)"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "_2EqIBbjEbo6",
        "outputId": "fa2852e1-037e-4132-fd51-b853c2de7f23"
      },
      "execution_count": 6,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "array([[ True,  True,  True,  True],\n",
              "       [ True,  True,  True,  True]])"
            ]
          },
          "metadata": {},
          "execution_count": 6
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "np.array(([1,2,3,4],[2,3,4,5]),dtype=float)"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "RMGLLkq6EpQP",
        "outputId": "e053a603-07c8-4877-c0b4-b28436a1ebe7"
      },
      "execution_count": 7,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "array([[1., 2., 3., 4.],\n",
              "       [2., 3., 4., 5.]])"
            ]
          },
          "metadata": {},
          "execution_count": 7
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "#np.arange\n",
        "np.arange(1,11,2)"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "zxe-DNhcEtHh",
        "outputId": "2345d2ec-661d-422c-d235-6b5097cc540d"
      },
      "execution_count": 9,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "array([1, 3, 5, 7, 9])"
            ]
          },
          "metadata": {},
          "execution_count": 9
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "#reshape\n",
        "np.arange(1,10).reshape(3,3)"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "szK-HKD6E5uO",
        "outputId": "1041d9bb-0509-45cc-c732-6255e5555492"
      },
      "execution_count": 14,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "array([[1, 2, 3],\n",
              "       [4, 5, 6],\n",
              "       [7, 8, 9]])"
            ]
          },
          "metadata": {},
          "execution_count": 14
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "#np.ones ad np.zeros\n",
        "np.ones((3,4))"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "IGOqGRNXFEMc",
        "outputId": "f79e5399-23f0-47b2-ed93-85733fbcf5d8"
      },
      "execution_count": 15,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "array([[1., 1., 1., 1.],\n",
              "       [1., 1., 1., 1.],\n",
              "       [1., 1., 1., 1.]])"
            ]
          },
          "metadata": {},
          "execution_count": 15
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "np.zeros((3,2))"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "qHMjdPGFFhZK",
        "outputId": "466e0656-b4e8-4431-bbd3-1b528a7107d0"
      },
      "execution_count": 16,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "array([[0., 0.],\n",
              "       [0., 0.],\n",
              "       [0., 0.]])"
            ]
          },
          "metadata": {},
          "execution_count": 16
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "np.random.random((2,3))"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "7vkmMd30FudL",
        "outputId": "a4e440de-f44e-4f07-e9a2-c0b13b1cc3c3"
      },
      "execution_count": 17,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "array([[0.23709752, 0.40790579, 0.78997656],\n",
              "       [0.6849688 , 0.93871652, 0.1557145 ]])"
            ]
          },
          "metadata": {},
          "execution_count": 17
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "# generate equally spaced number in a range\n",
        "np.linspace(-10,10,10)"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "_8ri8WllFz8D",
        "outputId": "2620794f-a84f-4247-f959-224644360119"
      },
      "execution_count": 18,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "array([-10.        ,  -7.77777778,  -5.55555556,  -3.33333333,\n",
              "        -1.11111111,   1.11111111,   3.33333333,   5.55555556,\n",
              "         7.77777778,  10.        ])"
            ]
          },
          "metadata": {},
          "execution_count": 18
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "np.identity(4)"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "IK2tzpwxF7gC",
        "outputId": "c41ff324-0004-4be9-ac3f-d84fdd074879"
      },
      "execution_count": 19,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "array([[1., 0., 0., 0.],\n",
              "       [0., 1., 0., 0.],\n",
              "       [0., 0., 1., 0.],\n",
              "       [0., 0., 0., 1.]])"
            ]
          },
          "metadata": {},
          "execution_count": 19
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "p1= np.arange(10)\n",
        "p2=np.arange(12,dtype=float).reshape(3,4)\n",
        "p3=np.arange(8).reshape(2,2,2)\n",
        "p3\n"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "l1vofkrVGKM7",
        "outputId": "67daf49d-896e-4109-dd37-ebe74dd2bac4"
      },
      "execution_count": 23,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "array([[[0, 1],\n",
              "        [2, 3]],\n",
              "\n",
              "       [[4, 5],\n",
              "        [6, 7]]])"
            ]
          },
          "metadata": {},
          "execution_count": 23
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "#ndim\n",
        "p3.ndim"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "mkiqq4ToGyJj",
        "outputId": "bdbabb18-b21a-4b70-a5e4-be97d700f60f"
      },
      "execution_count": 25,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "3"
            ]
          },
          "metadata": {},
          "execution_count": 25
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "#shape\n",
        "p2.shape"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "xpVPrekmHAqJ",
        "outputId": "b62ad147-1d3e-4bc2-e747-682ca8cebc39"
      },
      "execution_count": 26,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "(3, 4)"
            ]
          },
          "metadata": {},
          "execution_count": 26
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "#size\n",
        "print(p3.size)"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "-_yAG40xHFFg",
        "outputId": "081b50d3-de10-4483-ac72-25c33af93a05"
      },
      "execution_count": 30,
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "8\n"
          ]
        },
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "array([[[0, 1],\n",
              "        [2, 3]],\n",
              "\n",
              "       [[4, 5],\n",
              "        [6, 7]]])"
            ]
          },
          "metadata": {},
          "execution_count": 30
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "# itemsize\n",
        "p3.itemsize"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "4iH0XJ1pHIP1",
        "outputId": "1f13e8e2-ee11-4c0f-9a7f-81592646ff65"
      },
      "execution_count": 31,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "8"
            ]
          },
          "metadata": {},
          "execution_count": 31
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "# dtype\n",
        "p1.dtype"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "ppigUrD9HZgb",
        "outputId": "1a2b011f-6728-4c9c-e29b-a8f09b2d5b23"
      },
      "execution_count": 32,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "dtype('int64')"
            ]
          },
          "metadata": {},
          "execution_count": 32
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "# astype to change datatype of array\n",
        "p1.astype(np.float32)"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "BUdBrhVBHtmV",
        "outputId": "3fd60967-3e0c-4071-d6d9-1bb046e78010"
      },
      "execution_count": 33,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "array([0., 1., 2., 3., 4., 5., 6., 7., 8., 9.], dtype=float32)"
            ]
          },
          "metadata": {},
          "execution_count": 33
        }
      ]
    },
    {
      "cell_type": "markdown",
      "source": [
        "# Array Operation\n"
      ],
      "metadata": {
        "id": "dhTFurgpIKgh"
      }
    },
    {
      "cell_type": "code",
      "source": [
        "a2= np.arange(12).reshape(3,4)\n",
        "b2= np.arange(12,24).reshape(3,4)"
      ],
      "metadata": {
        "id": "nd5Ja-vsIG9g"
      },
      "execution_count": 34,
      "outputs": []
    },
    {
      "cell_type": "code",
      "source": [
        "# scalar operation\n",
        "a2 **2"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "jQDE4o5iIzM-",
        "outputId": "86c3a685-649a-4df2-f2ed-3e0102338a4e"
      },
      "execution_count": 35,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "array([[  0,   1,   4,   9],\n",
              "       [ 16,  25,  36,  49],\n",
              "       [ 64,  81, 100, 121]])"
            ]
          },
          "metadata": {},
          "execution_count": 35
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "a2 >5"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "OHJOIQZEI4_Q",
        "outputId": "b2fc5b89-fd90-475b-eecf-21d194f41189"
      },
      "execution_count": 36,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "array([[False, False, False, False],\n",
              "       [False, False,  True,  True],\n",
              "       [ True,  True,  True,  True]])"
            ]
          },
          "metadata": {},
          "execution_count": 36
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "a2== 5\n"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "unKg-Wy1I8s5",
        "outputId": "4de97269-1fa5-44aa-c44d-d28972d3c813"
      },
      "execution_count": 37,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "array([[False, False, False, False],\n",
              "       [False,  True, False, False],\n",
              "       [False, False, False, False]])"
            ]
          },
          "metadata": {},
          "execution_count": 37
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "# vector operation\n",
        "a2 + b2"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "etH6-sGBJC9r",
        "outputId": "7a56ff07-55f0-4163-eb13-666a525a1651"
      },
      "execution_count": 40,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "array([[12, 14, 16, 18],\n",
              "       [20, 22, 24, 26],\n",
              "       [28, 30, 32, 34]])"
            ]
          },
          "metadata": {},
          "execution_count": 40
        }
      ]
    },
    {
      "cell_type": "markdown",
      "source": [
        "# Array Function"
      ],
      "metadata": {
        "id": "w6YrA7qdJk6r"
      }
    },
    {
      "cell_type": "code",
      "source": [
        " a3 = np.random.random((3,3))\n",
        " a3 = np.round(a3*100)\n",
        " a3"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "J42a4PsOJIfn",
        "outputId": "f98ea026-25b0-4778-c769-2544f7efb840"
      },
      "execution_count": 5,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "array([[28.,  9.,  8.],\n",
              "       [14., 18., 71.],\n",
              "       [83., 31., 22.]])"
            ]
          },
          "metadata": {},
          "execution_count": 5
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "np.max(a3)"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "TYjby-DrJzTO",
        "outputId": "196ae8d9-3664-4885-d27f-21e60fdee29f"
      },
      "execution_count": 7,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "83.0"
            ]
          },
          "metadata": {},
          "execution_count": 7
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "np.min(a3)"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "lsXJo9RrfQMt",
        "outputId": "f770ed4c-e46a-4b5d-a8f0-895efc83270f"
      },
      "execution_count": 8,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "8.0"
            ]
          },
          "metadata": {},
          "execution_count": 8
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "np.prod(a3)"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "7H3v7AyVfU1L",
        "outputId": "5c4d7b09-4a66-4b9d-e9c9-6ab40b9de451"
      },
      "execution_count": 9,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "2041793816832.0"
            ]
          },
          "metadata": {},
          "execution_count": 9
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "np.sum(a3)"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "7Tze_isZfXGQ",
        "outputId": "b6d2be19-f042-42db-f1ea-9b2b0979c48b"
      },
      "execution_count": 10,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "284.0"
            ]
          },
          "metadata": {},
          "execution_count": 10
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "#column\n",
        "np.sum(a3,axis=0)"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "Q6QpjzdsfbCU",
        "outputId": "102851fd-36de-44b9-a9e0-516b8677c7de"
      },
      "execution_count": 11,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "array([125.,  58., 101.])"
            ]
          },
          "metadata": {},
          "execution_count": 11
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "#row\n",
        "np.sum(a3,axis=1)"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "_kM9da3mforB",
        "outputId": "79dc513f-de6f-46c9-d670-6a5c6df881b1"
      },
      "execution_count": 12,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "array([ 45., 103., 136.])"
            ]
          },
          "metadata": {},
          "execution_count": 12
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "np.median(a3)"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "DR3OcThzftpR",
        "outputId": "e21d21cb-f3e0-4b3a-ec36-3b443c6d347a"
      },
      "execution_count": 13,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "22.0"
            ]
          },
          "metadata": {},
          "execution_count": 13
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "np.mean(a3)"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "gHK7XnAYf3ma",
        "outputId": "d6d88bbb-f7db-4304-80a4-db21dd4ab366"
      },
      "execution_count": 15,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "31.555555555555557"
            ]
          },
          "metadata": {},
          "execution_count": 15
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "np.std(a3,axis=1)"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "fhKB8TWxf5EC",
        "outputId": "2d885f1b-5be8-4bab-bc92-a6b6d419500e"
      },
      "execution_count": 18,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "array([ 9.20144916, 25.97862369, 26.88659311])"
            ]
          },
          "metadata": {},
          "execution_count": 18
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "np.var(a3)"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "wNNn933uf8vs",
        "outputId": "6c92e184-739a-4607-dc72-ba6e5bb69a7b"
      },
      "execution_count": 17,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "651.3580246913581"
            ]
          },
          "metadata": {},
          "execution_count": 17
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "a2 = np.arange(12).reshape(3,4)\n",
        "a4 = np.arange(12,24).reshape(4,3)\n",
        "np.dot(a2,a4)"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "v9v6VAguf-fK",
        "outputId": "795dbde0-b19c-4a16-f120-a013bf6dc252"
      },
      "execution_count": 20,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "array([[114, 120, 126],\n",
              "       [378, 400, 422],\n",
              "       [642, 680, 718]])"
            ]
          },
          "metadata": {},
          "execution_count": 20
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "np.log(a2)"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "idpqfwJpgdL8",
        "outputId": "2eab3046-52af-4a23-a56a-311ff8c45269"
      },
      "execution_count": 22,
      "outputs": [
        {
          "output_type": "stream",
          "name": "stderr",
          "text": [
            "<ipython-input-22-e0fbf9947be5>:1: RuntimeWarning: divide by zero encountered in log\n",
            "  np.log(a2)\n"
          ]
        },
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "array([[      -inf, 0.        , 0.69314718, 1.09861229],\n",
              "       [1.38629436, 1.60943791, 1.79175947, 1.94591015],\n",
              "       [2.07944154, 2.19722458, 2.30258509, 2.39789527]])"
            ]
          },
          "metadata": {},
          "execution_count": 22
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "np.exp(a2)"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "hy4t7Cpmgshu",
        "outputId": "c5a3eadb-95d2-4314-994d-bb11d2dd7088"
      },
      "execution_count": 24,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "array([[1.00000000e+00, 2.71828183e+00, 7.38905610e+00, 2.00855369e+01],\n",
              "       [5.45981500e+01, 1.48413159e+02, 4.03428793e+02, 1.09663316e+03],\n",
              "       [2.98095799e+03, 8.10308393e+03, 2.20264658e+04, 5.98741417e+04]])"
            ]
          },
          "metadata": {},
          "execution_count": 24
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "# round / floor / ceil\n",
        "np.round(np.random.random((2,3))*100)"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "CVmEh9UZgxUw",
        "outputId": "fd04fefc-36ed-402a-a2d0-6b360b0f1b0d"
      },
      "execution_count": 27,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "array([[51., 26.,  8.],\n",
              "       [42., 78.,  3.]])"
            ]
          },
          "metadata": {},
          "execution_count": 27
        }
      ]
    },
    {
      "cell_type": "markdown",
      "source": [
        "# Indexing and Slicing"
      ],
      "metadata": {
        "id": "c8cEVcM6lqMk"
      }
    },
    {
      "cell_type": "code",
      "source": [
        "a1= np.arange(10)\n",
        "a2= np.arange(12).reshape(3,4)\n",
        "a3 = np.arange(8).reshape(2,2,2)"
      ],
      "metadata": {
        "id": "76AFCKUTg_MQ"
      },
      "execution_count": 28,
      "outputs": []
    },
    {
      "cell_type": "code",
      "source": [
        "a1[-1]"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "PvRduPdUl6CJ",
        "outputId": "13004192-ef60-4281-c9b8-c16ae186c17b"
      },
      "execution_count": 32,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "9"
            ]
          },
          "metadata": {},
          "execution_count": 32
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "a2"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "ELVFC4aGl8XK",
        "outputId": "1b45a3ad-0474-48ac-fc33-fd5c1643017d"
      },
      "execution_count": 33,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "array([[ 0,  1,  2,  3],\n",
              "       [ 4,  5,  6,  7],\n",
              "       [ 8,  9, 10, 11]])"
            ]
          },
          "metadata": {},
          "execution_count": 33
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "a2[1,2]"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "JrIOVq9GmFJR",
        "outputId": "586a5c3d-aae9-40b6-f79b-190c9d7f93bd"
      },
      "execution_count": 34,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "6"
            ]
          },
          "metadata": {},
          "execution_count": 34
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "# [row,col]\n",
        "a2[2,3]"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "Wdd4hA5LmKLR",
        "outputId": "f12c7ded-c1d3-42a0-8730-46fd9f5ead71"
      },
      "execution_count": 35,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "11"
            ]
          },
          "metadata": {},
          "execution_count": 35
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "a3"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "9ttj4-YtmOOQ",
        "outputId": "74bddf96-2ca4-4e1e-f30b-8cd828b82767"
      },
      "execution_count": 36,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "array([[[0, 1],\n",
              "        [2, 3]],\n",
              "\n",
              "       [[4, 5],\n",
              "        [6, 7]]])"
            ]
          },
          "metadata": {},
          "execution_count": 36
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "a3[1,0,1]"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "CcvgH15rmUqw",
        "outputId": "a03dd50d-dcb9-47ee-8aab-bce285c94bae"
      },
      "execution_count": 37,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "5"
            ]
          },
          "metadata": {},
          "execution_count": 37
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "#[matrix,row,col]\n",
        "a3[1,0,0]"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "qTCUMWqZmdLm",
        "outputId": "f06b7940-7961-4865-eee7-d3514217d70a"
      },
      "execution_count": 38,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "4"
            ]
          },
          "metadata": {},
          "execution_count": 38
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "a3[0,1,0]"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "MbNCJCvbmtNd",
        "outputId": "96afc8b5-9651-4c87-aec4-63bbbf322287"
      },
      "execution_count": 41,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "2"
            ]
          },
          "metadata": {},
          "execution_count": 41
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "#slicing\n",
        "a1[2:5:2]"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "B-oTmLxomv3M",
        "outputId": "9a0577cf-0490-4275-d6df-ddf49242dacc"
      },
      "execution_count": 43,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "array([2, 4])"
            ]
          },
          "metadata": {},
          "execution_count": 43
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "a2"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "DonMa3UjnBdq",
        "outputId": "de61b16a-d119-4c2a-d553-1d397caa7dac"
      },
      "execution_count": 44,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "array([[ 0,  1,  2,  3],\n",
              "       [ 4,  5,  6,  7],\n",
              "       [ 8,  9, 10, 11]])"
            ]
          },
          "metadata": {},
          "execution_count": 44
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "a2[0,:]"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "iuB7o_iZnIgo",
        "outputId": "6d382ab9-07bb-42e8-9c80-6c92b0961027"
      },
      "execution_count": 45,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "array([0, 1, 2, 3])"
            ]
          },
          "metadata": {},
          "execution_count": 45
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "a2[2,:]"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "jO_A7IO8nL1S",
        "outputId": "f2e5ab9d-5717-4026-e273-5815793adef2"
      },
      "execution_count": 47,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "array([ 8,  9, 10, 11])"
            ]
          },
          "metadata": {},
          "execution_count": 47
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "a2[2,[1,2]]"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "NRraZTP0nOok",
        "outputId": "50631543-5e33-4a8b-d3d4-48949951e4f2"
      },
      "execution_count": 49,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "array([ 9, 10])"
            ]
          },
          "metadata": {},
          "execution_count": 49
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "a2[1:,1:3]"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "KFD1X0ocnZsl",
        "outputId": "39313e96-2c60-4c11-dab0-f20986694cba"
      },
      "execution_count": 50,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "array([[ 5,  6],\n",
              "       [ 9, 10]])"
            ]
          },
          "metadata": {},
          "execution_count": 50
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "a2[::2,::3]"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "eCdOQnXwnmd7",
        "outputId": "8329bb43-0dfb-401f-ea92-7e7fcd63ef7e"
      },
      "execution_count": 51,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "array([[ 0,  3],\n",
              "       [ 8, 11]])"
            ]
          },
          "metadata": {},
          "execution_count": 51
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "1,3\n",
        "9, 11\n",
        "a2[::2,1::2]"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "fp-CTFjan0B2",
        "outputId": "fe453607-7d99-4863-a6c5-7a4daa464c9a"
      },
      "execution_count": 60,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "array([[ 1,  3],\n",
              "       [ 9, 11]])"
            ]
          },
          "metadata": {},
          "execution_count": 60
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "a2"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "G3beMo_ioDS1",
        "outputId": "5422a074-5531-4257-925c-1663a0f15cae"
      },
      "execution_count": 61,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "array([[ 0,  1,  2,  3],\n",
              "       [ 4,  5,  6,  7],\n",
              "       [ 8,  9, 10, 11]])"
            ]
          },
          "metadata": {},
          "execution_count": 61
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "4 , 7\n",
        "a2[1,::3]"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "sb5QrYuUouSd",
        "outputId": "9c16d4f8-ac94-4949-b92e-bd62bc896356"
      },
      "execution_count": 71,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "array([4, 7])"
            ]
          },
          "metadata": {},
          "execution_count": 71
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "1,2 ,3\n",
        "5,6,7\n",
        "a2[0:2,1:]"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "KRmOG7V0o03j",
        "outputId": "ba6c31f1-05b6-4f0f-eb58-9a1dbe1026c0"
      },
      "execution_count": 73,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "array([[1, 2, 3],\n",
              "       [5, 6, 7]])"
            ]
          },
          "metadata": {},
          "execution_count": 73
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "a3 =np.arange(27).reshape(3,3,3)"
      ],
      "metadata": {
        "id": "QbX9b6wspgS6"
      },
      "execution_count": 75,
      "outputs": []
    },
    {
      "cell_type": "code",
      "source": [
        "a3"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "DvEzlgnjppQS",
        "outputId": "44a5c6de-55ea-49d6-fee8-a03685e7126d"
      },
      "execution_count": 76,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "array([[[ 0,  1,  2],\n",
              "        [ 3,  4,  5],\n",
              "        [ 6,  7,  8]],\n",
              "\n",
              "       [[ 9, 10, 11],\n",
              "        [12, 13, 14],\n",
              "        [15, 16, 17]],\n",
              "\n",
              "       [[18, 19, 20],\n",
              "        [21, 22, 23],\n",
              "        [24, 25, 26]]])"
            ]
          },
          "metadata": {},
          "execution_count": 76
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "a3[::2]"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "Xi3NGGwgp5np",
        "outputId": "cd9654f8-7a31-4935-ce42-0d0badb8c98a"
      },
      "execution_count": 77,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "array([[[ 0,  1,  2],\n",
              "        [ 3,  4,  5],\n",
              "        [ 6,  7,  8]],\n",
              "\n",
              "       [[18, 19, 20],\n",
              "        [21, 22, 23],\n",
              "        [24, 25, 26]]])"
            ]
          },
          "metadata": {},
          "execution_count": 77
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "a3[0,1,:]"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "UZqK9ZInp8Gd",
        "outputId": "11f90fcd-7911-493e-88c7-94bd281cacb1"
      },
      "execution_count": 78,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "array([3, 4, 5])"
            ]
          },
          "metadata": {},
          "execution_count": 78
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "a3[1,:,1]"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "Fll6p8SAqBV6",
        "outputId": "bc896d99-8e68-4d93-8eab-9ef2edf0a9f3"
      },
      "execution_count": 79,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "array([10, 13, 16])"
            ]
          },
          "metadata": {},
          "execution_count": 79
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "a3[2,1:,1:]"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "_MXKRTPuqG2r",
        "outputId": "2ab7e73d-5635-48c9-821d-a537302fd192"
      },
      "execution_count": 80,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "array([[22, 23],\n",
              "       [25, 26]])"
            ]
          },
          "metadata": {},
          "execution_count": 80
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "a3[::2,0,::2]"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "KA76zzEuqTyX",
        "outputId": "4492c48d-f6ab-426b-f8e8-e4ff6ae890d6"
      },
      "execution_count": 81,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "array([[ 0,  2],\n",
              "       [18, 20]])"
            ]
          },
          "metadata": {},
          "execution_count": 81
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "a1\n",
        "for i in a1:\n",
        "  print(i)"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "Pc83T5tQqRAQ",
        "outputId": "0e800d29-6e5e-44d4-b57f-94b660a9ce51"
      },
      "execution_count": 85,
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "0\n",
            "1\n",
            "2\n",
            "3\n",
            "4\n",
            "5\n",
            "6\n",
            "7\n",
            "8\n",
            "9\n"
          ]
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "a2\n",
        "for i in a2:\n",
        "  print(i)"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "ClmJ9NQyqw02",
        "outputId": "9eb5c742-54cd-43a4-b2df-8d311b35a9c6"
      },
      "execution_count": 86,
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "[0 1 2 3]\n",
            "[4 5 6 7]\n",
            "[ 8  9 10 11]\n"
          ]
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "a3\n",
        "for i in a3:\n",
        "  print(i)"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "zRjYaCAZrCsb",
        "outputId": "3e79b42a-04a0-4a41-c82d-486f8d549f26"
      },
      "execution_count": 87,
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "[[0 1 2]\n",
            " [3 4 5]\n",
            " [6 7 8]]\n",
            "[[ 9 10 11]\n",
            " [12 13 14]\n",
            " [15 16 17]]\n",
            "[[18 19 20]\n",
            " [21 22 23]\n",
            " [24 25 26]]\n"
          ]
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "# nditer print all the element of any dimention of matrix one by one\n",
        "for i in np.nditer(a3):\n",
        "  print(i)"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "icdy5za7rNlU",
        "outputId": "b1799e8b-9d57-4140-a303-1eaa922e0378"
      },
      "execution_count": 88,
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "0\n",
            "1\n",
            "2\n",
            "3\n",
            "4\n",
            "5\n",
            "6\n",
            "7\n",
            "8\n",
            "9\n",
            "10\n",
            "11\n",
            "12\n",
            "13\n",
            "14\n",
            "15\n",
            "16\n",
            "17\n",
            "18\n",
            "19\n",
            "20\n",
            "21\n",
            "22\n",
            "23\n",
            "24\n",
            "25\n",
            "26\n"
          ]
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "a2"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "clMVou_YrXyq",
        "outputId": "49867815-d475-43e1-cecc-e9cb18b5c081"
      },
      "execution_count": 89,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "array([[ 0,  1,  2,  3],\n",
              "       [ 4,  5,  6,  7],\n",
              "       [ 8,  9, 10, 11]])"
            ]
          },
          "metadata": {},
          "execution_count": 89
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "# Transpose\n",
        "np.transpose(a2)"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "Y9ItdQ00rmKS",
        "outputId": "b330ceca-3da0-4be6-a357-22911c574b91"
      },
      "execution_count": 90,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "array([[ 0,  4,  8],\n",
              "       [ 1,  5,  9],\n",
              "       [ 2,  6, 10],\n",
              "       [ 3,  7, 11]])"
            ]
          },
          "metadata": {},
          "execution_count": 90
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "a2.T"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "IoraybBJrpJB",
        "outputId": "d36ca4e8-f360-4d9a-8dd5-0f13e6a97c79"
      },
      "execution_count": 91,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "array([[ 0,  4,  8],\n",
              "       [ 1,  5,  9],\n",
              "       [ 2,  6, 10],\n",
              "       [ 3,  7, 11]])"
            ]
          },
          "metadata": {},
          "execution_count": 91
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "#ravel\n",
        "a2.ravel()"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "qXEQ5nGIrrl2",
        "outputId": "68ca7898-8d3b-422d-a6e0-c46299a797d1"
      },
      "execution_count": 92,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "array([ 0,  1,  2,  3,  4,  5,  6,  7,  8,  9, 10, 11])"
            ]
          },
          "metadata": {},
          "execution_count": 92
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "a3.ravel()"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "Rgkgqp7NrwRZ",
        "outputId": "88d005f6-f219-465f-deb9-6d5636930ba2"
      },
      "execution_count": 93,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "array([ 0,  1,  2,  3,  4,  5,  6,  7,  8,  9, 10, 11, 12, 13, 14, 15, 16,\n",
              "       17, 18, 19, 20, 21, 22, 23, 24, 25, 26])"
            ]
          },
          "metadata": {},
          "execution_count": 93
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "# Horizontal Stacking\n",
        "a4 = np.arange(12).reshape(3,4)\n",
        "a5 = np.arange(12,24).reshape(3,4)\n"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "UGYEE3D0rzpP",
        "outputId": "3a0627a9-67ea-4076-9792-f328e33cab15"
      },
      "execution_count": 95,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "array([[ 0,  1,  2,  3, 12, 13, 14, 15],\n",
              "       [ 4,  5,  6,  7, 16, 17, 18, 19],\n",
              "       [ 8,  9, 10, 11, 20, 21, 22, 23]])"
            ]
          },
          "metadata": {},
          "execution_count": 95
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "a4"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "9HI6IU8IsN0K",
        "outputId": "1fe62d9c-d4be-429a-9ac4-9526c84292c5"
      },
      "execution_count": 96,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "array([[ 0,  1,  2,  3],\n",
              "       [ 4,  5,  6,  7],\n",
              "       [ 8,  9, 10, 11]])"
            ]
          },
          "metadata": {},
          "execution_count": 96
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "a5"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "kYHfC791sWCc",
        "outputId": "e78b3abd-bb43-4c61-874d-b94d3104fb7f"
      },
      "execution_count": 97,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "array([[12, 13, 14, 15],\n",
              "       [16, 17, 18, 19],\n",
              "       [20, 21, 22, 23]])"
            ]
          },
          "metadata": {},
          "execution_count": 97
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "a6=np.hstack((a4,a5))"
      ],
      "metadata": {
        "id": "uDajXBcYsXe7"
      },
      "execution_count": 103,
      "outputs": []
    },
    {
      "cell_type": "code",
      "source": [
        "# Vertical Stacking\n",
        "np.vstack((a4,a5))"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "42ip7w08sYwW",
        "outputId": "9a20ebdc-c62f-472d-ea2a-e71d24043672"
      },
      "execution_count": 99,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "array([[ 0,  1,  2,  3],\n",
              "       [ 4,  5,  6,  7],\n",
              "       [ 8,  9, 10, 11],\n",
              "       [12, 13, 14, 15],\n",
              "       [16, 17, 18, 19],\n",
              "       [20, 21, 22, 23]])"
            ]
          },
          "metadata": {},
          "execution_count": 99
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "np.vstack((a4,a5,a4))"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "nBt1a_uWsfwl",
        "outputId": "f1087a20-b78a-4c04-e44a-0bfb413af71d"
      },
      "execution_count": 100,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "array([[ 0,  1,  2,  3],\n",
              "       [ 4,  5,  6,  7],\n",
              "       [ 8,  9, 10, 11],\n",
              "       [12, 13, 14, 15],\n",
              "       [16, 17, 18, 19],\n",
              "       [20, 21, 22, 23],\n",
              "       [ 0,  1,  2,  3],\n",
              "       [ 4,  5,  6,  7],\n",
              "       [ 8,  9, 10, 11]])"
            ]
          },
          "metadata": {},
          "execution_count": 100
        }
      ]
    },
    {
      "cell_type": "markdown",
      "source": [
        "# Splitting\n"
      ],
      "metadata": {
        "id": "Bm07cpmCsqpq"
      }
    },
    {
      "cell_type": "code",
      "source": [
        "# horizontal Splitting\n",
        "np.hsplit(a6,2)"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "wkJdbDnnsjJj",
        "outputId": "d5896e0c-6903-4304-fee0-171e9c2a7f41"
      },
      "execution_count": 109,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "[array([[ 0,  1,  2,  3],\n",
              "        [ 4,  5,  6,  7],\n",
              "        [ 8,  9, 10, 11]]),\n",
              " array([[12, 13, 14, 15],\n",
              "        [16, 17, 18, 19],\n",
              "        [20, 21, 22, 23]])]"
            ]
          },
          "metadata": {},
          "execution_count": 109
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "np.hsplit(a6,4)"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "8SLJMYMgs1Nx",
        "outputId": "a51956d7-553e-40d4-c0c1-188bb0f1093d"
      },
      "execution_count": 111,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "[array([[0, 1],\n",
              "        [4, 5],\n",
              "        [8, 9]]),\n",
              " array([[ 2,  3],\n",
              "        [ 6,  7],\n",
              "        [10, 11]]),\n",
              " array([[12, 13],\n",
              "        [16, 17],\n",
              "        [20, 21]]),\n",
              " array([[14, 15],\n",
              "        [18, 19],\n",
              "        [22, 23]])]"
            ]
          },
          "metadata": {},
          "execution_count": 111
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "# Vertical Splitting\n",
        "np.vsplit(a6,3)"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "L8XwXsYGtXiQ",
        "outputId": "38579ad6-69f4-48dd-935a-21f64d856694"
      },
      "execution_count": 113,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "[array([[ 0,  1,  2,  3, 12, 13, 14, 15]]),\n",
              " array([[ 4,  5,  6,  7, 16, 17, 18, 19]]),\n",
              " array([[ 8,  9, 10, 11, 20, 21, 22, 23]])]"
            ]
          },
          "metadata": {},
          "execution_count": 113
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [],
      "metadata": {
        "id": "uw2WTI_Gtdsz"
      },
      "execution_count": null,
      "outputs": []
    }
  ]
}