Answer
See below.
Work Step by Step
$T(c(x_1,x_2))=T(cx_1,cx_2)=(cx_1+cx_2,2)\ne(cx_1+cx_2,2c)=cT(x_1,x_2)$
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 - Problems - Page 389: 12
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