3. A subspace U C Rº and x E R® are given by 3 1 -3 -1 -3 4 -3 2 U = 1 1 and x = 2 -1 2 2 1 7 2 [1/2 1 1/4 3/2] (a) Find the orthogonal projection of x onto U, TU (x). Please verify TU(x) lies in the same subspace as U. (b) What is your projection matrix?

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