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  • 1 1 5. Let x = :f , y = _i , W be the subspace of R4 spanned by x and y, and B = {x,y}. 5 7 53. Is B a basis of W? Is it an orthogonal basis of W? Is…

1 1 5. Let x = :f , y = _i , W be the subspace of R4 spanned by x and y, and B = {x,y}. 5 7 53. Is B a basis of W? Is it an orthogonal basis of W? Is…

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Please provide detailed steps on how to approach the following. Thank you

1 —1 5. Let x = :f , y = _i , W be the subspace of R4 spanned by x and y, and B = {x,y}.5 7 53. Is B a basis of W? Is it an orthogonal basis of W? Is it an orthonormal basis of W? Answer thesame questions with R4 in place of W. 51). Apply the Gram—Schmidt process to construct an orthonormal basis {111,112} of W. —15c. Find the point ‘r in W closest to v = g and the distance from v to W. —1 T1 1" ] of Ar = v, where A is the 4 X 2 matrix with columns 1:2 5d. Find the least-square solution 1′ = [and y.

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