Precalculus (6th Edition)

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

Chapter 9 - Systems and Matrices - Chapter 9 Test Prep - Review Exercises - Page 956: 74

Answer

$$\begin{bmatrix} 9 &-14& 13\\ 21&-4&28\end{bmatrix}$$

Work Step by Step

We have: $D= 4 \begin{bmatrix} 3 &-4& 2\\ 5&-1&6\end{bmatrix}+\begin{bmatrix} -3 &2& 5\\ 1&0&4\end{bmatrix}\\=\begin{bmatrix} 12 &-16& 8\\ 20&-4& 24\end{bmatrix}+\begin{bmatrix} -3 &2& 5\\ 1&0&4\end{bmatrix}\\=\begin{bmatrix} 12-3 &-16+2&8+ 5\\ 20+1&-4+0&24+4\end{bmatrix}\\=\begin{bmatrix} 9 &-14& 13\\ 21&-4&28\end{bmatrix}$
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