Algebra 2 (1st Edition)

Published by McDougal Littell
ISBN 10: 0618595414
ISBN 13: 978-0-61859-541-9

Chapter 3 Linear Systems and Matrices - 3.6 Multiplying Matrices - 3.6 Exercises - Skill Practice - Page 200: 28

Answer

$-2(BC)=\begin{bmatrix} -8 & -2 \\ 64 & -20 \end{bmatrix}$

Work Step by Step

$-2(BC)=-2\times\begin{bmatrix} 0 & 1 \\ 4 & -2 \end{bmatrix} \times \begin{bmatrix} -6 & 3 \\ 4 & 1 \end{bmatrix}$ $=-2\times\begin{bmatrix} (0\times(-6))+(1\times4) & (0\times3)+(1\times1) \\ (4\times(-6))+(-2\times4) & (4\times3)+(-2\times1) \end{bmatrix} $ $=\begin{bmatrix} -2\times4 & -2\times1 \\ -2\times(-32) & -2\times10 \end{bmatrix}$ $=\begin{bmatrix} -8 & -2 \\ 64 & -20 \end{bmatrix}$
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