Question: Problem 3 Consider the hyperplane V = {m E 1R3 : 33:1 3:; + 233 = D} (a) Find the matrix of orthogonal projection on

Problem 3 Consider the hyperplane V = {m E 1R3 : 33:1 3:; + 233 = D} (a) Find the matrix of orthogonal projection on V. 1 (13) Find the orthogonal projection of y = 1 on V. 1 Let A E Rm\" have nearly independent columns. Show that P = A(ATA)_1AT is the orthogonal projection to R(A)

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