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: 78

Answer

$\begin{bmatrix} 2 & 12\\ 12& 24\\-29 &-38 \end{bmatrix}$

Work Step by Step

We can see the number of columns in first matrix is same as number of rows of a second matrix, so their product is possible. $D= \begin{bmatrix} 1 & 2\\ 3& 0\\-6&5 \end{bmatrix} \begin{bmatrix} 4 & 8\\ -1& 2 \end{bmatrix}\\=\begin{bmatrix} 4+(-1)(2) & 8+(2)(2) \\ 12+0& 24 \\ -24-5 & -48+10 \end{bmatrix}\\=\begin{bmatrix} 2 & 12\\ 12& 24\\-29 &-38 \end{bmatrix}$
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