Answer
False
Work Step by Step
The formula $$T\left(\mathbf{0}_{V}\right)=\mathbf{0}_{W}$$
does not hold for every mapping. It holds for linear transformations. It is the statement of the Theorem 6.1 .11 .
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 388: c
Update this answer!
You can help us out by revising, improving and updating this answer.
Update this answerAfter you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.
