Let W be the subspace of R³ spanned by the vectors1-2Find the matrix A of the orthogonal projection onto W.A =and8-3-8 LetConsider the inner productf(x) = -5, g(x)=5x+2 and h(x) = 2x².(p,q9) = f* p(x)q(x) dæin the vector space P7 of polynomials of degree at most 7. Use the Gram-Schmidt process to determine an orthonormal basis for the subspace of P7 spanned by the functions f(x), g(x), and h(x).{100}.

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Answered: Let W be the subspace of R³ spanned by…

Elementary Linear Algebra (MindTap Course List)

8th Edition

ISBN:9781305658004

Author:Ron Larson

Publisher:Ron Larson

Chapter5: Inner Product Spaces

Section5.CR: Review Exercises

Problem 47CR: Find an orthonormal basis for the subspace of Euclidean 3 space below. W={(x1,x2,x3):x1+x2+x3=0}

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