College Algebra (10th Edition)

Published by Pearson
ISBN 10: 0321979478
ISBN 13: 978-0-32197-947-6

Chapter 8 - Section 8.4 - Matrix Algebra - 8.4 Assess Your Understanding - Page 598: 12

Answer

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

Work Step by Step

If $k$ is a real number and $A$ is an $m$ by $n$ matrix, the matrix $kA$ is the $m$ by $n$ matrix formed by multiplying each entry $a_{ij}$ in $A$ by $k$. $-3B=-3\cdot\left[\begin{array}{lll} -3\cdot 4 & -3\cdot 1 & -3\cdot 0\\ -3\cdot(-2) & -3\cdot 3 & -3\cdot(-2) \end{array}\right]$ $=\left[\begin{array}{rrr} -12 & -3 & 0\\ 6 & -9 & 6 \end{array}\right]$
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