Q4) Let f be a function in C[=n, 1] with inner product (f, g) = S",f(x)g(x)dx and W be a subspace spanned by {1, cosx, sinx, cos2x, sin2x, .., cosnx, sinnx } where n is a positive integer. 1, cosx, sinx, cos2x, sin2x, ..., cosnx, sinnx are mutually orthogonal vectors. a) Find the orthonormal basis for W.

Q4) Let f be a function in C[=n, 1] with inner product (f, g) = S",f(x)g(x)dx and W be a subspace spanned by {1, cosx, sinx, cos2x, sin2x, .., cosnx, sinnx } where n is a positive integer. 1, cosx, sinx, cos2x, sin2x, ..., cosnx, sinnx are mutually orthogonal vectors. a) Find the orthonormal basis for W.

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 6CM

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