College Algebra (10th Edition)

Published by Pearson
ISBN 10: 0321979478
ISBN 13: 978-0-32197-947-6

Chapter 8 - Section 8.4 - Matrix Algebra - 8.4 Assess Your Understanding - Page 598: 23

Answer

$\left[\begin{array}{rrr} {-13}&{7}&{-12}\\ {-18}&{10}&{-14}\\ {17}&{-7}&{34}\end{array}\right]$

Work Step by Step

$CA=\left[\begin{array}{ccc} {1}&{14}&{-14}\\ {2}&{22}&{-18}\\ {3}&{0}&{28}\end{array}\right]\quad$(see sol. exercise 17) $CB=\left[\begin{array}{ccc} {14}&{7}&{-2}\\ {20}&{12}&{-4}\\ {-14}&{7}&{-6}\end{array}\right]\quad$(see sol. exercise 18) Both are 3 by 3 matrices, so the difference is defined. $CA-CB=\left[\begin{array}{ccc} {1-14}&{14-7}&{-14-(-2)}\\ {2-20}&{22-12}&{-18-(-4)}\\ {3-(-14)}&{0-7}&{28-(-6)}\end{array}\right]$ $=\left[\begin{array}{rrr} {-13}&{7}&{-12}\\ {-18}&{10}&{-14}\\ {17}&{-7}&{34}\end{array}\right]$
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