Update main.tex

Author: annadavismath

MAT-0020/main.tex

@@ -272,34 +272,33 @@ \section*{Practice Problems}
 $$\begin{bmatrix}1&2&3&4\\5&6&7&8\end{bmatrix}\begin{bmatrix}-2\\3\\-5\\7\end{bmatrix}=\answer{-2}\begin{bmatrix}1\\5\end{bmatrix}+\answer{3}\begin{bmatrix}2\\6\end{bmatrix}+\answer{-5}\begin{bmatrix}3\\7\end{bmatrix}+\answer{7}\begin{bmatrix}4\\8\end{bmatrix}$$
 \end{problem}
 
-\emph{Problems \ref{prob:matproddim1}-\ref{prob:matproddim2}}
 
-Predict the dimensions of each product.
 
 \begin{problem}\label{prob:matproddim1}
+Find the dimensions of the product.
+
 $$\begin{bmatrix}1&2&3\end{bmatrix}\begin{bmatrix}4\\5\\6\end{bmatrix}$$
 Dimensions of product: $\answer{1}\times \answer{1}$
 \end{problem}
 
 \begin{problem}\label{prob:matproddim2}
+Find the dimensions of the product.
 $$\begin{bmatrix}1&2\\3&4\\5&6\end{bmatrix}\begin{bmatrix}1&2&3&4\\5&6&7&8\end{bmatrix}$$
 Dimensions of product: $\answer{3}\times \answer{4}$
 \end{problem}
 
-
-\emph{Problems \ref{prob:matprod1}-\ref{prob:matprod3}}
-
-Find each product.
-
 \begin{problem}\label{prob:matprod1}
+Find the product.
 $$\begin{bmatrix}1&3&-2&1\\-2&1&0&4\end{bmatrix}\begin{bmatrix}4\\-2\\1\\1\end{bmatrix}=\begin{bmatrix}\answer{-3}\\\answer{-6}\end{bmatrix}$$
 \end{problem}
 
 \begin{problem}\label{prob:matprod2}
+Find the product.
 $$\begin{bmatrix}1&2&3\end{bmatrix}\begin{bmatrix}-1&2&-3&1\\1&1&-1&-2\\0&1&2&1\end{bmatrix}=\begin{bmatrix}\answer{1}&\answer{7}&\answer{1}&\answer{0}\end{bmatrix}$$
 \end{problem}
 
 \begin{problem}\label{prob:matprod3}
+Find the product.
 $$\begin{bmatrix}1&2\\-1&0\\2&3\\-4&-1\end{bmatrix}\begin{bmatrix}-1&1\\2&-3\end{bmatrix}=\begin{bmatrix}\answer{3}&\answer{-5}\\\answer{1}&\answer{-1}\\\answer{4}&\answer{-7}\\\answer{2}&\answer{-1}\end{bmatrix}
 $$
 \end{problem}