Linear Algebra: A Modern Introduction

Published by Cengage Learning
ISBN 10: 1285463242
ISBN 13: 978-1-28546-324-7

Chapter 3 - Matrices - 3.1 Matrix Operations - Exercises 3.1 - Page 152: 7

Answer

$\begin{bmatrix}3 & 3 \\19 & 27\end{bmatrix}$

Work Step by Step

We have: $D+BC=\begin{bmatrix}0 & -3\\-2 & 1\end{bmatrix}+\begin{bmatrix}4 & -2 & 1\\0 & 2 & 3\end{bmatrix} \cdot \begin{bmatrix}1 & 2\\3 & 4 \\ 5 & 6\end{bmatrix} $ $=\begin{bmatrix}0 & -3\\-2 & 1\end{bmatrix}+\begin{bmatrix}4-6+5 & 8-8+6 \\ 0+6+15 & 0+8+18 \end{bmatrix}$ After simplification, we obtain: $=\begin{bmatrix}3 & 3 \\19 & 27\end{bmatrix}$
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