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: 80

Answer

$\begin{bmatrix} -3 \\ 10 \end{bmatrix}$

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