2. (25 points) For this problem we will be looking at the following 1 U 1 A : 2 1 . b : 1 1 1 1 and solving the least squares problem for the system A3? = E in each of the three ways described in class. (a) Solve A3? = E by solving the normal system. This method is the most direct and should be what you compare your other answers with. (b) Solve ASE : 5 Via the direct method by projecting onto column space. (Remember. What do you need to project onto a subspace] (c) Lastly solve Air" 2 3 using the QR factorization of A. (Note, you should alread}r have done the hardest part of nding the QR decomposition above}