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 200: 26

Answer

$E(D+E)=\begin{bmatrix} 30&9&-28\\ -24&18 & 48\\ 5 & 11 & 29 \end{bmatrix}$

Work Step by Step

$E(D+E)=\begin{bmatrix} -3&1&4\\ 7& 0 & -2\\ 3 & 4 & -1 \end{bmatrix}(\begin{bmatrix} 1&3&2\\ -3& 1 & 4\\ 2 & 1 & -2 \end{bmatrix}+\begin{bmatrix} -3&1&4\\ 7& 0 & -2\\ 3 & 4 & -1 \end{bmatrix})$ $=\begin{bmatrix} -3&1&4\\ 7& 0 & -2\\ 3 & 4 & -1 \end{bmatrix}.\begin{bmatrix} -2&4&6\\ 4& 1 & 2\\ 5 &5 & -3 \end{bmatrix}$ $=\begin{bmatrix} 6+4+20&-12+1+20 & -18 + 2 -12\\ -14 + 0-10& 28+0-10 & 42+0+6\\ -6+16-5 & 12+4-5 & 18+8+3 \end{bmatrix}$ $=\begin{bmatrix} 30&9&-28\\ -24&18 & 48\\ 5 & 11 & 29 \end{bmatrix}$
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