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: 59

Answer

\begin{bmatrix} -5 & 10 \\ -19 & 30 \end{bmatrix}

Work Step by Step

$$ \begin{bmatrix} 1 & 0 \\ 3 & -2 \end{bmatrix} \times \begin{bmatrix} -5 & 10 \\ 2 & 0 \end{bmatrix} = \begin{bmatrix} (1\times(-5))+(0\times2) & (1\times10)+(0\times0) \\ (3\times(-5))+(-2\times2) & (3\times10)+(-2\times0) \end{bmatrix} = \begin{bmatrix} -5 & 10 \\ -19 & 30 \end{bmatrix} $$
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