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: 57

Answer

\begin{bmatrix} -10 & -28 \\ -17 & 7 \end{bmatrix}

Work Step by Step

$$ \begin{bmatrix} 2 & -4 \\ 6 & 1 \end{bmatrix} \times \begin{bmatrix} -3 & 0 \\ 1 & 7 \end{bmatrix} = \begin{bmatrix} (2\times(-3))+(-4\times1) & (2\times0)+(-4\times7) \\ (6\times(-3))+(1\times1) & (6\times0)+(1\times7) \end{bmatrix} = \begin{bmatrix} -10 & -28 \\ -17 & 7 \end{bmatrix} $$
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