Answer
True
Work Step by Step
The statement is exactly the same with Theorem 4.5.23. If the $W=[f_1,f_2,...f_n]$ is nonzero at some point $x_0$ in an interval $I$, then the set of functions $\{f_1,f_2,...f_k\}$ is linearly independent on $I$.
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 4 - Vector Spaces - 4.5 Linear Dependence and Linear Independence - True-False Review - Page 296: e
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