3. Let X hethe sqpui data matris, with exmple in thertow nd variale in the cn as e discused in class. Let x represent the vector consisting of means of columns in X. Assume that x 0 (0 is a vector with all 0's as its elements), so the input data has been centered. Show that the optimizer of the optimization problem that minimizes the following objective function: 1S where 1 is a column vector consisting of all 1's 3. Let X hethe sqpui data matris, with exmple in thertow nd variale in the cn as e discused in class. Let x represent the vector consisting of means of columns in X. Assume that x 0 (0 is a vector with all 0's as its elements), so the input data has been centered. Show that the optimizer of the optimization problem that minimizes the following objective function: 1S where 1 is a column vector consisting of all 1's