Solve using MATLAB or Python

6.19 Use the method of Lagrange multipliers to solve each of the following constrained opti- mization problems. To solve the resulting sys- tem of nonlinear equations, you may use a li- brary rotine or one of your own desiju. Ouc you find a critical point of the Lagrangian func- tion, remember to check it for optimality, ei- ther by sampling the objective at nearby feasi ble points, or using the second-order optimal ity condition. You may also wish to compare your results with those of a library routine de- (a) Quadratic objective function and linear constraints: min f(z) = (4x1-T2)2 + (T2 + T3-2)2