3. Let A be a m x n matrix and let b E Rm. Consider the optimization problem min{||A b||:2R"}, (NMP) |ym|} (i.e., the Lo norm) for y = Rm. Let denote the optimal objective where ||y| max {|y|,. value of (NMP). (a) Let y Rm such that y 1 and yT A = 0. Show that by s. (b) Consider the linear programming problem {o Show that the optimal objective value of (LP2) is equal to C. max [mi1}. (LP2) Ty : yA=0, |yi|