Question: Please provide detailed steps by steps. Let u = [2 7 1]T e R3 and W be the subspace of R3 consisting of all the

Please provide detailed steps by steps.

Let u = [2 7 1]T e R3 and W be the subspace of R3 consisting of all the vectors [:61 x2 x3]T such that 3:1:1 + x2 21:3 2 0. (a) Find the orthogonal projection matrix PW. (b) Find vectors w e W and z e Wl such that u = w + z. (c) Find the distance from u to W

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