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: 18

Answer

\begin{bmatrix} -15 & 52 & -10 \\ -12 & 39 & -21 \\ 21 & -67 & 43 \end{bmatrix}

Work Step by Step

$$ \begin{bmatrix} 2 & 5 \\ -1 & 4 \\ 3 & -7 \end{bmatrix} \times \begin{bmatrix} 0 & 1 & 5 \\ -3 & 10 & -4 \end{bmatrix} = \begin{bmatrix} (2\times0)+(5\times(-3)) & (2\times1)+(5\times10) & (2\times5)+(5\times(-4)) \\ (-1\times0)+(4\times(-3)) & (-1\times1)+(4\times10) & (-1\times5)+(4\times(-4)) \\ (3\times0)+(-7\times(-3)) & (3\times1)+(-7\times10) & (3\times5)+(-7\times(-4)) \end{bmatrix} = \begin{bmatrix} -15 & 52 & -10 \\ -12 & 39 & -21 \\ 21 & -67 & 43 \end{bmatrix} $$
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