Algebra 2 (1st Edition)

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

Chapter 3 Linear Systems and Matrices - 3.7 Evaluate Determinants and Apply Cramer's Rule - 3.7 Exercises - Mixed Review - Page 209: 58

Answer

\begin{bmatrix} -56 & -38 \\ -28 & 6 \end{bmatrix}

Work Step by Step

$$ \begin{bmatrix} -6 & -8 \\ 2 & -4 \end{bmatrix} \times \begin{bmatrix} 0 & 5 \\ 7 & 1 \end{bmatrix} = \begin{bmatrix} (-6\times0)+(-8\times7) & (-6\times5)+(-8\times1) \\ (2\times0)+(-4\times7) & (2\times5)+(-4\times1) \end{bmatrix} = \begin{bmatrix} -56 & -38 \\ -28 & 6 \end{bmatrix} $$
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