Precalculus (6th Edition) Blitzer

Published by Pearson
ISBN 10: 0-13446-914-3
ISBN 13: 978-0-13446-914-0

Chapter 8 - Section 8.3 - Matrix Operations and Their Applications - Exercise Set - Page 917: 17

Answer

$X=\left[ \begin{matrix} -8 & -8 \\ 2 & -9 \\ 8 & -4 \\ \end{matrix} \right]$

Work Step by Step

Consider the matrix equation, $X-A=B$ This implies that, $X=B+A$ Now add the matrix $A$ and $B$ as below: $\begin{align} & X=B+A \\ & =\left[ \begin{matrix} -5 & -1 \\ 0 & 0 \\ 3 & -4 \\ \end{matrix} \right]+\left[ \begin{matrix} -3 & -7 \\ 2 & -9 \\ 5 & 0 \\ \end{matrix} \right] \\ & =\left[ \begin{matrix} -5+\left( -3 \right) & -1+\left( -7 \right) \\ 0+2 & 0-9 \\ 3+5 & -4+0 \\ \end{matrix} \right] \\ & =\left[ \begin{matrix} -8 & -8 \\ 2 & -9 \\ 8 & -4 \\ \end{matrix} \right] \end{align}$
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