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: e

Answer

True

Work Step by Step

For linear transformation $T:M_2(R) \rightarrow P_4(R)$ we obtain: $\dim P_4(R) =5 \gt 4=\dim M_2(R)$ Hence, $T$ can not be an onto linear transformation.

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