Answer
$B=C$
Work Step by Step
Let $(B-C)D=0$ where $B$ and $C$ are $m$$\times$$n$ matrices and $D$ is invertible.
$(B-C)D=0$
Since D is invertible:
$(B-C)DD^{-1}=0D^{-1}$
$(B-C)I=0$
$B-C=0$
$B=C$
Linear Algebra and Its Applications (5th Edition)
by Lay, David C.; Lay, Steven R.; McDonald, Judi J.
Published by
Pearson
ISBN 10:
032198238X
ISBN 13:
978-0-32198-238-4
Chapter 2 - Matrix Algebra - 2.2 Exercises - Page 112: 14
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