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: 34

Answer

$ [\ 12\ \ -9\ \ \ 3\ ]$

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. --- $[\ 10\ -4\ \ \ 6\ ]-[-2\ \ 5\ \ 3\ ]=$ ... dimensions match, continue $=[\ 10-(-2)\ \ -4-5\ \ \ 6-3\ ]$ $=[\ 12\ \ -9\ \ \ 3\ ]$
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