Algebra 2 (1st Edition)

Published by McDougal Littell
ISBN 10: 0618595414
ISBN 13: 978-0-61859-541-9

Chapter 3 Linear Systems and Matrices - Chapter Test - Page 227: 21

Answer

$(A+B)D=\begin{bmatrix} 2 & 12 & -11\\ -9 & 9 & -3 \end{bmatrix}$

Work Step by Step

$(A+B)D=(\begin{bmatrix} 1 & -2 \\ 4 & -3 \end{bmatrix}+\begin{bmatrix} 3 & 5 \\ -1 & 0 \end{bmatrix})\begin{bmatrix} -1 & 3 & -2\\ 2 & 0 & -1 \end{bmatrix}$ $=\begin{bmatrix} 4 & 3 \\ 3&-3 \end{bmatrix}\begin{bmatrix} -1 & 3 & -2\\ 2 & 0 & -1 \end{bmatrix}$ $=\begin{bmatrix} 2 & 12 & -11\\ -9 & 9 & -3 \end{bmatrix}$
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