Let f: R" → R be given by f(x) = ||Ar|| + a¹x where A € Rnxn is a positive definite matrix, and a € R". Write a projected gradient descent algorithm to solve min f(x) i. N = B, with B from part (a). ii. N = B = {z € R" : || ²||2 ≤ 1} You do not need to specify the step size for this problem.

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