Answer
See solution
Work Step by Step
$T(u)=v$
$T(-u)=T(-1 \cdot u)=-1 \cdot T(u)=-T(u)=-v$
We used property of linear transformation: $T(\alpha u)=\alpha T(u)$.
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 1 - Linear Equations in Linear Algebra - Supplementary Exercises - Page 91: 20
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