Question: Let u1 = 1 2 0 1 , u2 = 2 1 1 0 , u3 = 1 2 0 5 and y = 42

Let u1 = 1 2 0 1 , u2 = 2 1 1 0 , u3 = 1 2 0 5 and y = 42 6 0 0 . Let W = span{u1, u2, u3} (i) Find the orthogonal projection of y onto the subspace W. (ii) Write y as the sum of a vector in W and a vector orthogonal to W

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