Answer
False
Work Step by Step
Let start with $(e^{At})^2:$
Obtain: $(e^{At})^2=e^{At}.e^{At}=e^{At+At}=e^{2At}$
Hence, the statement is false.
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 7 - Eigenvalues and Eigenvectors - 7.4 An Introduction to the Matrix Exponential Function - True-False Review - Page 465: f
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