Precalculus (6th Edition)

Published by Pearson
ISBN 10: 013421742X
ISBN 13: 978-0-13421-742-0

Chapter 9 - Systems and Matrices - 9.7 Properties of Matrices - 9.7 Exercises - Page 929: 26

Answer

$ \left[\begin{array}{rr} 6 & 6\\ -12 & 9 \end{array}\right]$

Work Step by Step

1. Check if the matrices have the same dimension. If they don't, the sum/difference is not defined. 2. The sum difference will be a matrix with the same dimension. 3. Position by position, add/subtract the corresponding entries. --- $\left[\begin{array}{ll} 9 & 4\\ -8 & 2 \end{array}\right]+\left[\begin{array}{ll} -3 & 2\\ -4 & 7 \end{array}\right]=\qquad$ ... dimensions match, continue $=\left[\begin{array}{ll} 9+(-3) & 4+2\\ -8+(-4) & 2+7 \end{array}\right]$ $=\left[\begin{array}{rr} 6 & 6\\ -12 & 9 \end{array}\right]$
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