Answer
True.
Work Step by Step
$cT(v)=T(cv)$ for any $v$ in $V$, thus, if we substitute in $c=-1$, we can see that the statement is true.
Differential Equations and Linear Algebra (4th Edition)
by Goode, Stephen W.; Annin, Scott A.
Published by
Pearson
ISBN 10:
0-32196-467-5
ISBN 13:
978-0-32196-467-0
Chapter 6 - Linear Transformations - 6.1 Definition of a Linear Transformation - True-False Review - Page 389: e
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