Can you find an orthogonal basis for P2 with respect to < f, g > = \int _0^1\:f\left(x\right)g\left(x\right)dx ? Explain

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.7: Distinguishable Permutations And Combinations
Problem 21E
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Can you find an orthogonal basis for P2 with respect to < f, g > = \int _0^1\:f\left(x\right)g\left(x\right)dx ?

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