Matrix Operations and Calculations

Performs operations and calculations on matrices.

This repository contains:

• Matrix Multiplication

  Multiplies 2 matrices entered by the user and prints the resulting matrix to the screen.

• Matrix Addition and Subtraction

  • Addition Operation in Matrices

    It performs addition with 2 matrices entered by the user and prints the sum of these matrices on the screen.

  • Subtraction Operation in Matrices

    It performs subtraction with 2 matrices entered by the user and prints the difference of these matrices on the screen.

• Transpose of Matrix

  Finds the transpose matrix of the entered matrix.

• Identity Matrix

  Creates a identity matrix of the desired size.

• Determinant

  Calculates the determinant of the entered matrix.

  • If the dimension of the matrix is ​​2:

    A = {{a, b,}, {c, d}}
    det(A) = ad - bc

    Calculates the determinant using the method above.

  • If the dimension of the matrix is ​​greater than 2:

    Calculates the determinant using the cofactor expansion method.

• Trace of a Matrix

  Calculates the trace of the matrix and prints it to the screen.

• Symmetric Matrix Control

  Square matrices whose symmetric elements are equal to each other with respect to their main diagonal are called symmetric matrices.

  This program checks whether the matrix is ​​symmetric or not and gives the result as screen output.

• Matrix Scalar Multiplication

  Multiplies a matrix by a scalar number and prints the result to the screen.

• Elementary Row Operations

  Depending on the selection, all three elementary row operations can be performed on the entered matrix and the result is printed on the screen.

  Elementary Row Operations:

  • Exchange any two rows.
  • Multiply any row by a constant.
  • Add a multiple of one row to another row.

• Elementary Column Operations

• Find Main Diagonal

• Antisymmetric Matrix

• Scalar Matrix

• Convert to Upper Triangular Matrix

• Diagonal Matrix

• Zero Matrix