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: 24

Answer

$X=\left[ \begin{matrix} 17 & -3 \\ 2 & -9 \\ -7 & 16 \\ \end{matrix} \right]$

Work Step by Step

Consider the matrix equation, $A-X=4B$. This implies that, $X=A-4B$ Now we will consider, $\begin{align} & X=A-4B \\ & =\left[ \begin{matrix} -3 & -7 \\ 2 & -9 \\ 5 & 0 \\ \end{matrix} \right]-4\left[ \begin{matrix} -5 & -1 \\ 0 & 0 \\ 3 & -4 \\ \end{matrix} \right] \\ & =\left[ \begin{matrix} -3 & -7 \\ 2 & -9 \\ 5 & 0 \\ \end{matrix} \right]-\left[ \begin{matrix} -20 & -4 \\ 0 & 0 \\ 12 & -16 \\ \end{matrix} \right] \\ & =\left[ \begin{matrix} 17 & -3 \\ 2 & -9 \\ -7 & 16 \\ \end{matrix} \right] \end{align}$
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