Answer
$sin(t)$ and $\sin(2t)$
Work Step by Step
$\sin(2t)=2\sin(t)\cos(t)$, so the last 2 functions are linearly dependent. $sin(t)$ and $\sin(2t)$ are not linearly dependent, so they can form a basis for the subspace.
Linear Algebra and Its Applications (5th Edition)
by Lay, David C.; Lay, Steven R.; McDonald, Judi J.
Published by
Pearson
ISBN 10:
032198238X
ISBN 13:
978-0-32198-238-4
Chapter 4 - Vector Spaces - 4.3 Exercises - Page 216: 26
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