Question: [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 (a) Solve the

[0.5 -0.5] 0.5 -0.5 Let A == . Note that the columns

[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 (a) Solve the least squares problem Ax = b where b .-8 = === (b) Find the projection matrix P that projects vectors in R onto R(A) P= (c) Compute Ax and Pb Ax = Pb

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