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 - 6.6 Chapter Review - Additional Problems - Page 429: 1

Answer

T is not a linear transformation.

Work Step by Step

Assume that $T(1,1)=(2,0,0,1)\\ T(2,2)=(4,0,0,4)$ We can notice that: $T(2,2) \ne 2T(1,1)$ Hence, $T$ is not a linear transformation.

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