Precalculus (6th Edition)

Published by Pearson
ISBN 10: 013421742X
ISBN 13: 978-0-13421-742-0

Chapter 9 - Systems and Matrices - 9.7 Properties of Matrices - 9.7 Exercises - Page 930: 46

Answer

$\begin{bmatrix} -20 &0\\16&-6\end{bmatrix} $

Work Step by Step

$-2A+4B= -2 \begin{bmatrix} -2 &4\\0&3\end{bmatrix} +4 \begin{bmatrix} -6 &2\\4&0\end{bmatrix} \\=\begin{bmatrix} 4 &-8\\0&-6\end{bmatrix} +\begin{bmatrix} -24 &8\\16&0\end{bmatrix} \\=\begin{bmatrix} 4-24 &-8+8\\0+16&-6+0\end{bmatrix}$ So, $-2A+4B=\begin{bmatrix} -20 &0\\16&-6\end{bmatrix} $
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