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: 1

Answer

$\begin{bmatrix}3 & -6\\-5 & 7\end{bmatrix}$

Work Step by Step

We have $A+2D=\begin{bmatrix}3 & 0\\-1 & 5\end{bmatrix}+2\begin{bmatrix}0 & -3\\-2 & 1\end{bmatrix}$ $=\begin{bmatrix}3 & 0\\-1 & 5\end{bmatrix}+\begin{bmatrix} 0 &\ -6\\-4 & 2 \end{bmatrix}$ After matrix addition, we get $=\begin{bmatrix}3 & -6\\-5 & 7\end{bmatrix}$
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