Consider the real inner product space P[0, 1] of all polynomials with the innerproduct, (f,g) = f(x)g(x)dx. Let M = span ((1)). The orthogonal projection ofx² onto M isO 1/3O 1/2O 1/401

This question related to orthogonal projection from linear algebra.

Answered: Consider the real inner product space…

Elementary Linear Algebra (MindTap Course List)

8th Edition

ISBN:9781305658004

Author:Ron Larson

Publisher:Ron Larson

Chapter5: Inner Product Spaces

Section5.CM: Cumulative Review

Problem 24CM

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Consider the real inner product space P[0, 1] of all polynomials with the inner product, (f,g) = f(x)g(x) dx. Let M = span((1)). The orthogonal projection of xonto M is 1/3 1/2 1/4 1