[0.5 -0.5] 0.5 -0.5 Let A = . Note that the columns of A are orthonormal (why?). 0.5 0.5 0.5 0.5 -3 (a) Solve the least squares problem Ax=b where b B 2 x 18 (b) Find the projection matrix P that projects vectors in Rª onto R(A) P = (c) Compute Ax and Pb Ax Pb

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