Linear Algebra and Its Applications (5th Edition)

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

Chapter 2 - Matrix Algebra - Supplementary Exercises - Page 163: 16

Answer

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Work Step by Step

Because $\mathrm{A}$ is not invertible, there is a nonzero vector $\mathrm{v}$ in $R^{n}$ such that $\mathrm{Av}=0$. Place n copies of $\mathrm{v}$ into an $\mathrm{nn}$ matrix $\mathrm{B} .$ Then $A B=A[v \ldots v]=[A v \ldots A v]=0$
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