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 199: 14

Answer

\begin{bmatrix} -15 & 10 \\ 18 & -6 \end{bmatrix}

Work Step by Step

$$ \begin{bmatrix} 5 & 0 \\ -4 & 1 \end{bmatrix} \times \begin{bmatrix} -3 & 2 \\ 6 & 2 \end{bmatrix} = \begin{bmatrix} (5\times(-3))+(0\times6) & (5\times2)+(0\times2) \\ (-4\times(-3))+(1\times6) & (-4\times2)+(1\times2) \end{bmatrix} = \begin{bmatrix} -15 & 10 \\ 18 & -6 \end{bmatrix} $$
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