Answer
True
Work Step by Step
Take $v, w \in V$
and $T_1T_2(v)=T_1T_2(w)\\
\rightarrow T_1(T_2(v))=T_1(T_2(w))$
Given:
$T_1$ is one-to-one $\rightarrow v=w$
$T_2$ is one-to-one $\rightarrow T_1(v)=T_2(w)$
Hence, $T_2T_1$ is one-to-one.
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 - 6.4 Additional Properties of Linear Transformation - True-False Review - Page 416: f
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