6. Consider the optimization problem: min : TOxtqatco s. t. : x E [-1, 1]3, where the data of the problem are given as: 13 12 -2 -22 Q = 12 17 6 q = -14.5 Co = -1. -2 6 12 13 (a) Is this a convex optimization problem? Explain your answer precisely. (b) Show that a = (1, 0.5, -1) is an optimal solution. (c) Are there other optimal solutions