Precalculus (10th Edition)

Published by Pearson
ISBN 10: 0-32197-907-9
ISBN 13: 978-0-32197-907-0

Chapter 11 - Systems of Equations and Inequalities - 11.4 Matrix Algebra - 11.4 Assess Your Understanding - Page 758: 12

Answer

$\left[\begin{matrix} -12&-3 &0\\ 6& -9 &6 \end{matrix}\right]$

Work Step by Step

The given matrix is $B=\left[\begin{matrix} 4& 1 &0\\ -2& 3 &-2 \end{matrix}\right]$ Multiply both sides by $-3$. $-3B=-3\left[\begin{matrix} 4& 1 &0\\ -2& 3 &-2 \end{matrix}\right]$ Multiply each element by $-3$. $-3B=\left[\begin{matrix} -3\cdot 4&-3\cdot 1 &-3\cdot 0\\ -3\cdot (-2)& -3\cdot 3 &-3\cdot (-2) \end{matrix}\right]$ Simplify. $-3B=\left[\begin{matrix} -12&-3 &0\\ 6& -9 &6 \end{matrix}\right]$.
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