Question: 2. (25 points) For this problem we will be looking at the following A = 2 and solving the least squares problem for the system

2. (25 points) For this problem we will be looking at the following A = 2 and solving the least squares problem for the system AT = b in each of the three ways described in class. (a) Solve AT = b by solving the normal system. This method is the most direct and should be what you compare your other answers with. (b) Solve AT = b via the direct method by projecting onto column space. (Remember, what do you need to project onto a subspace) (c) Lastly solve AT = b using the QR factorization of A. (Note, you should already have done the hardest part of finding the QR decomposition above)

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