Answer
see the details below.
Work Step by Step
We have
$$\langle x^2, 1\rangle=\int_{-1}^1 x^2 d x=\left[ \frac{ 1}{3 } x^3\right]_{-1}^1=\frac{ 1}{3 }+\frac{ 1}{3 } =\frac{ 2}{3 }.$$
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: 47
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.
