Precalculus (10th Edition)

Published by Pearson
ISBN 10: 0-32197-907-9
ISBN 13: 978-0-32197-907-0

Chapter 11 - Systems of Equations and Inequalities - 11.4 Matrix Algebra - 11.4 Assess Your Understanding - Page 758: 29

Answer

$\begin{bmatrix} 9&2\\ 34&13\\ 47&20 \end{bmatrix}$

Work Step by Step

To Find: $\begin{bmatrix} 1&0&1\\ 2&4&1\\ 3&6&1 \end{bmatrix}\begin{bmatrix} 1&3\\ 6&2\\ 8&-1 \end{bmatrix}$ Let the resultant be Matrix M. $\implies M{1,1} = (1)(1)+(0)(6)+(1)(8) = 9$ $\implies M_{1,2} = (1)(3)+(0)(2)+(1)(-1) = 2$ $\implies M_{2,1} = (2)(1)+(4)(6)+(1)(8) = 34$ $\implies M_{2,2} = (2)(3)+(4)(2)+(1)(-1) = 13$ $\implies M_{3,1} = (3)(1)+(6)(6)+(1)(8) = 47$ $\implies M_{3,2} = (3)(3)+(6)(2)+(1)(-1) = 20$ $\therefore M = \begin{bmatrix} 9&2\\ 34&13\\ 47&20 \end{bmatrix}$
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