Let W be the subspace of R5 spanned by the columns of the matrix A below:...

  

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Let W be the subspace of R5 spanned by the columns of the matrix A below: 1 2 2 11-1 12\ 12 A = (a1, a2, a3)=13 2 y = 1 2 1 0 1 2 0 a.) (9 pts) Find an orthogonal basis for W. b.) (9 pts) Find the projection of y in W and the distance from y to W. c.) (9 pts) Find a QR factorization of A. Let W be the subspace of R5 spanned by the columns of the matrix A below: 1 2 2 11-1 12\ 12 A = (a1, a2, a3)=13 2 y = 1 2 1 0 1 2 0 a.) (9 pts) Find an orthogonal basis for W. b.) (9 pts) Find the projection of y in W and the distance from y to W. c.) (9 pts) Find a QR factorization of A.