1 Formulate the following problems as least squares problems. For each problem, give a matrix A and a vector b such that the problem can be expressed as minimize 1A -bl2 (You are not asked to solve the problems.) (a) Minimize r? +2z1 + 3r + (zi-n + r,-1 )2 + (-ri-472 + 2)2 (b) Minimize (-Gr24)2432 2(82-3)2 (c) Minimize 2(-6r 4)2 3(-4ri 3r2 -12 4( 8r2 - 3)2. (d) Minimize x-+ Bx-d 2 where the p n matrix B and the p-vector d are given (e) Minimize llBr-d112 +211 Fr-g112. The px n matrix B, the 1 n matrix F, the p-vector d and the l-vector g are given. (f) Minimize xTDx+ Br d 2. D is a n n diagonal matrix with positive diagonal elements. B ispx n, and d is a p-veetor. D, B and D are given