2. Consider the following non-convex quadratic minimization problem (P2) min x Aox + 2box XERn s.t. x Aix + 2b; x + ci >*bi) =0 i= 1 i=1 A* [(x*)TAi(x*) + 2b;]x* + ci] = 0, i =1, 2, ..., m, (x*)T Ai (x*) + 2b; x* + ci 0 means that Ao + En * Ai is positive semidefinite. Prove that x* is a global minimizer of (P2). Hint: Show first that the Lagrangian function L(x, )*) of (P) is a convex function on R&quot