Answer
True
Work Step by Step
Let $X(t)=\{x_1,x_2,...x_n\}$
then $X'(t)=\{x_1',x_2',...,x_n'\}=\{Ax_1,Ax_2,...Ax_n\}=Ax$
Hence, the statement is true.
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 9 - Systems of Differential Equations - 9.6 Variation-of-Parameters for Linear Systems - True-False Review - Page 624: c
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