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Consider the least squares problem min_x ||b - Ax||_2. Which of the following statements are necessarily true? (a) If x is a solution to the

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Consider the least squares problem min_x ||b - Ax||_2. Which of the following statements are necessarily true? (a) If x is a solution to the least squares problem, then Ax = b (b) If x is a solution to the least squares problem, then the residual vector r b - Ax is in the nullspace of A^T. (c) The solution is unique. (d) A solution may not exist. (e) None of the above

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