Answer
see the details below.
Work Step by Step
We have
$$\langle x, 1\rangle=\int_{-1}^1 x d x=\left[\frac{ 1}{2 } x^2\right]_{-1}^1=\frac{ 1}{2 } -\frac{ 1}{2 } =0.$$
Elementary Linear Algebra 7th Edition
by Larson, Ron
Published by
Cengage Learning
ISBN 10:
1-13311-087-8
ISBN 13:
978-1-13311-087-3
Chapter 5 - Inner Product Spaces - 5.3 Orthonormal Bases: Gram-Schmidt Process - 5.3 Exercises - Page 257: 45
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