Precalculus: Concepts Through Functions, A Unit Circle Approach to Trigonometry (3rd Edition)

Published by Pearson
ISBN 10: 0-32193-104-1
ISBN 13: 978-0-32193-104-7

Chapter 10 - Systems of Equations and Inequalities - Section 10.4 Matrix Algebra - 10.4 Assess Your Understanding - Page 777: 12

Answer

$\begin{bmatrix} -12 & -3 & 0\\ 6 & -9 & 6 \end{bmatrix}$

Work Step by Step

We are given that $\ B=\begin{bmatrix} 4 & 1 & 0\\ -2 & 3 & -2 \end{bmatrix}$ Thus, we have: $-3B= -3 \begin{bmatrix} 4 & 1 & 0\\ -2 & 3 & -2 \end{bmatrix} \\ =\begin{bmatrix} (-3) (4) & (-3)(1) & (-3)(0)\\ (-3)(-2) & (-3)(3) & (-3)(-2) \end{bmatrix} \\=\begin{bmatrix} -12 & -3 & 0\\ 6 & -9 & 6 \end{bmatrix}$
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