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P4.1 Express the following problems as linear least-squares problems. Find a matrix A and a vector b such that each problem can be formulated as: minimize |Ax - bj|2. (a) minimize + + x} + (x1 - 3)?. (b) minimize (x1 - 12 + 2)" + 2(2x1 - 12 + 13 - 3)"+ (x1 + x2 - 2)"+ x} (c) minimize ||Cz - d|3 + x Dx where C E RPX, de RP, DE Rox" are given and the matrix D is a diagonal matrix with positive diagonal elements d, > 0, Le., D = diag(dj, . . ., d.) > 0