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: 17

Answer

\begin{bmatrix} 21 & -8 \\ 74 & -50 \end{bmatrix}

Work Step by Step

$$ \begin{bmatrix} 1 & 3 & 0 \\ 2 & 12 & -4 \end{bmatrix} \times \begin{bmatrix} 9 & 1 \\ 4 & -3 \\ -2 & 4 \end{bmatrix} = \begin{bmatrix} (1\times9)+(3\times4)+(0\times(-2)) & (1\times1)+(3\times(-3))+(0\times4) \\ (2\times9)+(12\times4)+(-4\times(-2)) & (2\times1)+(12\times(-3))+(-4\times4) \end{bmatrix} = \begin{bmatrix} 21 & -8 \\ 74 & -50 \end{bmatrix} $$
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