Linear Algebra and Its Applications (5th Edition)

Published by Pearson
ISBN 10: 032198238X
ISBN 13: 978-0-32198-238-4

Chapter 2 - Matrix Algebra - 2.1 Exercises - Page 102: 2

Answer

A+2B=(16 -10 1 \ 8 -5 0) 3C-E is undefined. CB=(9 -13 -5 \ -13 6 -5) EB is undefined.

Work Step by Step

A+2B=(2 0 -1 \ 4 -5 2)+2(7 -5 1 \ 1 -4 -3)=(2 0 -1 \ 4 -5 2)+(14 -10 2 \ 4 0 -2)=(16 -10 1 \ 8 -5 0) 3C-E is undefined, because the matrices are not of the same size. C=2x2, and E=2x1. CB=(1 2 \ -2 1)(7 -5 1 \ 1 -4 -3)=(7+2 -5-8 1-6 \ -14+1 10-4 -2-3)=(9 -13 -5 \ -13 6 -5) E has 1 column, but B has 2 rows. Thus, EB is undefined.
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