Answer
Yes, $h(x)$ is in $\text{span}(f(x),g(x))$.
Work Step by Step
Since $1 \cdot f(x) - 1 \cdot g(x) = \cos^2(x) - \sin^2(x) = \cos(2x)$, $\cos(2x)$ is in the span of $f(x)$ and $g(x)$.
Linear Algebra: A Modern Introduction
by Poole, David
Published by
Cengage Learning
ISBN 10:
1285463242
ISBN 13:
978-1-28546-324-7
Chapter 6 - Vector Spaces - 6.1 Vector Spaces and Subspaces - Exercises for 6.1 - Page 443: 56
Update this answer!
You can help us out by revising, improving and updating this answer.
Update this answerAfter you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.
