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: 79

Answer

$\begin{bmatrix} -9 & 3\\ 10& 6 \end{bmatrix}$

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. $D= \begin{bmatrix} 3 & 2 &-1\\ 4& 0 &6 \end{bmatrix} \begin{bmatrix} -2 & 0\\ 0& 2\\3 & 1 \end{bmatrix}\\=\begin{bmatrix} -6+0-3 & 0+4-1 \\ -8+18& 6 \end{bmatrix}\\=\begin{bmatrix} -9 & 3\\ 10& 6 \end{bmatrix}$
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