# Chapter 3 - Matrices - 3.1 Matrix Operations - Exercises 3.1 - Page 152: 9

$\begin{bmatrix}10\end{bmatrix}$

#### Work Step by Step

We have: $E(AF)=\begin{bmatrix}4 & 2\end{bmatrix} (\begin{bmatrix}3 & 0 \\-1 & 5\end{bmatrix} \cdot \begin{bmatrix}-1\\2 \end{bmatrix})$ $=\begin{bmatrix}4 & 2\end{bmatrix} (\begin{bmatrix}-3 -0 \\1+10\end{bmatrix})$ After simplification, we obtain: $=\begin{bmatrix}-12+22\end{bmatrix}$ $=\begin{bmatrix}10\end{bmatrix}$

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