Question: A vector u in R and a subspace W of R are given. (a) Find the orthogonal projection matrix Pw. (b) Use your result

A vector u in R" and a subspace W of R" are

A vector u in R" and a subspace W of R" are given. (a) Find the orthogonal projection matrix Pw. (b) Use your result to obtain the unique vectors w in W and z in W- such that u = w+ z. (c) Find the distance from u to W. -6 1 3 4 and W = Col -1 1 5 5. 2.

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