Differential Equations and Linear Algebra (4th Edition)

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 388: a

Answer

False

Work Step by Step

Given \begin{aligned}T(u+v)&=T(u)+T(v) \text { and } T(c \cdot V)=c T(v)\\ \text { holds for all vectors } u, v \text { in }& \mathrm{V} 5\text { and all scalars. }\end{aligned} This statement is False because it hold only For linear transformation
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