U = [[0.5, 0.5, 0.5, 0.5], [0.5, 0.5, 0.5, -0.5], [0.5, 0.5, -0.5, 0.5], [0.5, -0.5, -0.5, 0.5]] inv( U ) = [[0, 1, 0, 1], [0, 0, 1 -1], [1, 0 -1, 0], [1 -1, 0, 0]] U*diag([1, 2, 3, 4])*inv( U ) = [[3.5, -1.5, -0.5, -0.5], [-0.5, 2.5, -0.5, -0.5], [0.5, -1.5, 2.5, -0.5], [0.5, -1.5, 0.5, 1.5]] %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% U = [[0.5, 0.5, 0.5, 0.2], [0.5, 0.5, 0.5, 0.4], [0.5, 0.5, -0.5, 0.4], [0.5, -0.5, -0.5, 0.8]] inv( U ) = [[6 -5, 0, 1], [-2, 2, 1 -1], [0, 1 -1, 0], [-5, 5, 0, 0]] U*diag([1, 2, 3, 4])*inv( U ) = [[-3, 5, -0.5, -0.5], [-7, 9, -0.5, -0.5], [-7, 6, 2.5, -0.5], [-11, 10, 0.5, 1.5]] %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% U = [[0.5, 0.5, 0.5, 0.1], [0.5, 0.5, 0.5, -0.1], [0.5, 0.5, -0.5, 0.7], [0.5, -0.5, -0.5, 0.7]] inv( U ) = [[-3, 4, 0, 1], [0, 0, 1 -1], [4 -3 -1, 0], [5 -5, 0, 0]] U*diag([1, 2, 3, 4])*inv( U ) = [[6.5, -4.5, -0.5, -0.5], [2.5, -0.5, -0.5, -0.5], [6.5, -7.5, 2.5, -0.5], [6.5, -7.5, 0.5, 1.5]] %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% U = [[0.5, 0.5, 0.5, 0.1], [0.5, 0.5, 0.5, 0.5], [0.5, 0.5, -0.5, 0.5], [0.5, -0.5, -0.5, 0.7]] inv( U ) = [[3, -2, 0, 1], [-0.5, 0.5, 1, -1], [0, 1, -1, 0], [-2.5, 2.5, 0, 0]] U*diag([1, 2, 3, 4])*inv( U ) = [[0, 2, -0.5, -0.5], [-4, 6, -0.5, -0.5], [-4, 3, 2.5, -0.5], [-5, 4, 0.5, 1.5]] %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% U = [[0.5, 0.5, 0.5, 0.1], [0.5, 0.5, 0.5, 0.3], [0.5, 0.5, -0.5, 0.3], [0.5, -0.5, -0.5, 0.9]] inv( U ) = [[6 -5, 0, 1], [-3, 3, 1 -1], [0, 1 -1, 0], [-5, 5, 0, 0]] U*diag([1, 2, 3, 4])*inv( U ) = [[-2, 4, -0.5, -0.5], [-6, 8, -0.5, -0.5], [-6, 5, 2.5, -0.5], [-12, 11, 0.5, 1.5]] %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% U = [[0.5, 0.5, 0.2, 0.2], [0.5, 0.5, 0.4, 0.4], [0.5, 0.5, 0.4, -0.4], [0.5, -0.5, 0.8, -0.8]] inv( U ) = [[6, -3, -2, 1], [-2, 1, 2, -1], [-5, 3.75, 1.25, 0], [0, 1.25, -1.25, 0]] U*diag([1, 2, 3, 4])*inv( U ) = [[-2, 2.75, 0.75, -0.5], [-5, 6, 0.5, -0.5], [-5, 2, 4.5, -0.5], [-7, 2.5, 4, 1.5]] %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% U = [[0.5, 0.5, 0.2, 0.1], [0.5, 0.5, 0.4, 0.1], [0.5, 0.5, 0.4, -0.7], [0.5, -0.5, 0.8, -0.7]] inv( U ) = [[6, -4.25, -0.75, 1], [-2, 2, 1, -1], [-5, 5, 0, 0], [0, 1.25, -1.25, 0]] U*diag([1, 2, 3, 4])*inv( U ) = [[-2, 3.3750, 0.1250 -0.5], [-5, 6.3750, 0.1250 -0.5], [-5, 2.3750, 4.1250 -0.5], [-7, 4.3750, 2.1250, 1.5]] %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% U = [[0.5, 0.5, 0.2, 0.1], [0.5, 0.5, 0.4, 0.5], [0.5, 0.5, 0.4, -0.5], [0.5, -0.5, 0.8, -0.7]] inv( U ) = [[6, -2.4, -2.6, 1], [-2, 1, 2, -1], [-5, 3, 2, 0], [0, 1, -1, 0]] U*diag([1, 2, 3, 4])*inv( U ) = [[-2, 2, 1.5, -0.5], [-5, 5.4, 1.1, -0.5], [-5, 1.4, 5.1, -0.5], [-7, 2.2, 4.3, 1.5]] %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% U = [[0.5, 0.5, 0.2, 0.1], [0.5, 0.5, 0.4, 0.3], [0.5, 0.5, -0.4, 0.3], [0.5, -0.5, -0.8, 0.9]] inv( U ) = [[6, -3, -2, 1], [-3, 1.75, 2.25, -1], [0, 1.25, -1.25, 0], [-5, 3.75, 1.25, 0]] U*diag([1, 2, 3, 4])*inv( U ) = [[-2, 2.5, 1, -0.5], [-6, 6.25, 1.25, -0.5], [-6, 3.25, 4.25, -0.5], [-12, 7.25, 4.25, 1.5]] %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% U = [[0.5, 0.5, 0.1, 0.1], [0.5, 0.5, 0.1, -0.1], [0.5, 0.5, -0.7, 0.7], [0.5, -0.5, -0.7, 0.7]] inv( U ) = [[0, 1.75, -0.75, 1], [0, 0, 1, -1], [5, -3.75, -1.25, 0], [5, -5, 0, 0]] U*diag([1, 2, 3, 4])*inv( U ) = [[3.5, -2.25, 0.25, -0.5], [-0.5, 1.75, 0.25, -0.5], [3.5, -5.25, 3.25, -0.5], [3.5, -5.25, 1.25, 1.5]] %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% U = [[0.5, 0.5, 0.1, 0.1], [0.5, 0.5, 0.1, 0.5], [0.5, 0.5, -0.7, 0.5], [0.5, -0.5, -0.7, 0.7]] inv( U ) = [[3, -1.25, -0.75, 1], [-0.5, 0.5, 1, -1], [0, 1.25, -1.25, 0], [-2.5, 2.5, 0, 0]] U*diag([1, 2, 3, 4])*inv( U ) = [[0, 1.25, 0.25, -0.5], [-4, 5.25, 0.25, -0.5], [-4, 2.25, 3.25, -0.5], [-5, 3.25, 1.25, 1.5]] %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% U = [[0.5, 0.5, 0.1, 0.1], [0.5, 0.5, 0.1, 0.3], [0.5, 0.5, -0.7, 0.3], [0.5, -0.5, -0.7, 0.9]] inv( U ) = [[6, -4.25, -0.75, 1], [-3, 3, 1, -1], [0, 1.25, -1.25, 0], [-5, 5, 0, 0]] U*diag([1, 2, 3, 4])*inv( U ) = [[-2, 3.25, 0.25, -0.5], [-6, 7.25, 0.25, -0.5], [-6, 4.25, 3.25, -0.5], [-12, 10.25, 1.25, 1.5]] %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% U = [[0.5, 0.5, 0.1, 0.1], [0.5, 0.5, 0.5, 0.5], [0.5, 0.5, 0.5, -0.5], [0.5, -0.5, 0.7, -0.7]] inv( U ) = [[3, -0.6, -1.4, 1], [-0.5, 0.1, 1.4, -1], [-2.5, 1.5, 1, 0], [0, 1, -1, 0]] U*diag([1, 2, 3, 4])*inv( U ) = [[0.25, 0.65, 0.6, -0.5], [-2.75, 4.05, 0.2, -0.5], [-2.75, 0.05, 4.2, -0.5], [-3.25, -0.05, 2.8, 1.5]] %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% U = [[0.5, 0.5, 0.1, 0.1], [0.5, 0.5, 0.5, 0.3], [0.5, 0.5, -0.5, 0.3], [0.5, -0.5, -0.7, 0.9]] inv( U ) = [[6, -2.4, -2.6, 1], [-3, 1.6, 2.4, -1], [0, 1, -1, 0], [-5, 3, 2, 0]] U*diag([1, 2, 3, 4])*inv( U ) = [[-2, 1.9, 1.6, -0.5], [-6, 5.5, 2, -0.5], [-6, 2.5, 5, -0.5], [-12, 5.9, 5.6, 1.5]] %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% U = [[0.5, 0.5, 0.1, 0.3], [0.5, 0.5, 0.3, 0.1], [0.5, 0.5, 0.3, 0.3], [0.5, -0.5, 0.9, 0.9]] inv( U ) = [[6, 6 -11, 1], [-3, -3, 7, -1], [-5, 0, 5, 0], [0, -5, 5, 0]] U*diag([1, 2, 3, 4])*inv( U ) = [[-1.5, -6, 9, -0.5], [-4.5, -2, 8, -0.5], [-4.5, -6, 12, -0.5], [-7.5, -12, 19, 1.5]] %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% U = [[0.5, 0.2, 0.2, 0.2], [0.5, 0.4, 0.4, -0.4], [0.5, 0.4, -0.4, 0.4], [0.5, 0.8, -0.8, 0.8]] inv( U ) = [[0, 0, 4, -2], [0, 1.25, -3.75, 2.5], [2.5, 0, -3.75, 1.25], [2.5, -1.25, -2.5, 1.25]] U*diag([1, 2, 3, 4])*inv( U ) = [[3.5, -0.5, -3.75, 1.75], [-1, 3, -1.5, 0.5], [1, -1, -0.5, 1.5], [2, -2, -3, 4]] %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% U = [[0.5, 0.2, 0.2, 0.1], [0.5, 0.4, 0.4, 0.1], [0.5, 0.4, -0.4, -0.7], [0.5, 0.8, -0.8, -0.7]] inv( U ) = [[3.5, -1.75, 0.5, -0.25], [-2.5, 2.5, -1.25, 1.25], [-2.5, 2.5, 1.25, -1.25], [2.5, -1.25, -2.5, 1.25]] U*diag([1, 2, 3, 4])*inv( U ) = [[0.25, 1.1250 -0.5, 0.1250], [-2.25, 3.6250 -0.25, -0.1250], [-4.25, 1.6250, 4.75, -1.1250], [-3.25, 0.6250, 2.25, 1.3750]] %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% U = [[0.5, 0.2, 0.2, 0.1], [0.5, 0.4, 0.4, 0.5], [0.5, 0.4, -0.4, 0.5], [0.5, 0.8, -0.8, -0.7]] inv( U ) = [[3.4, -1.7, 0.6, -0.3], [-3, 2.75, -0.75, 1], [0, 1.25, -1.25, 0], [-1, 0.5, 1, -0.5]] U*diag([1, 2, 3, 4])*inv( U ) = [[0.1, 1.2, -0.35, 0.05], [-2.7, 3.85, 0.2, -0.35], [-2.7, 0.85, 3.2, -0.35], [-0.3, -0.85, -0.7, 2.85]] %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% U = [[0.5, 0.2, 0.2, 0.1], [0.5, 0.4, 0.4, 0.3], [0.5, 0.4, -0.4, 0.3], [0.5, 0.8, -0.8, 0.9]] inv( U ) = [[6, -3, -2, 1], [-15, 8.75, 11.25, -5], [0, 1.25, -1.25, 0], [10, -5, -10, 5]] U*diag([1, 2, 3, 4])*inv( U ) = [[1, 0.75, -1.25, 0.5], [3, 1, -5.5, 2.5], [3, -2, -2.5, 2.5], [15, -8.5, -16, 10.5]] %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% U = [[0.5, 0.2, 0.1, 0.1], [0.5, 0.4, 0.1, -0.1], [0.5, 0.4, -0.7, 0.7], [0.5, 0.8, -0.7, 0.7]] inv( U ) = [[0, 1.75, 2.25, -2], [0, 0, -2.5, 2.5], [5, -3.75, -3.75, 2.5], [5, -5, -2.5, 2.5]] U*diag([1, 2, 3, 4])*inv( U ) = [[3.5, -2.25, -2, 1.75], [-0.5, 1.75, -1, 0.75], [3.5, -5.25, 0, 2.75], [3.5, -5.25, -2, 4.75]] %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% U = [[0.5, 0.2, 0.1, 0.1], [0.5, 0.4, 0.1, 0.5], [0.5, 0.4, 0.7, -0.5], [0.5, 0.8, -0.7, -0.7]] inv( U ) = [[3.84, -1.32, -0.44, -0.08], [-3.8, 2.4, 0.8, 0.6], [-1, 0.5, 1, -0.5], [-0.6, 1.3, -0.4, -0.3]] U*diag([1, 2, 3, 4])*inv( U ) = [[-0.14, 0.97, 0.24, -0.07], [-2.62, 4.01, -0.08, -0.31], [-2.02, -0.29, 3.32, -0.01], [-0.38, -1.51, 0.08, 2.81]] %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% U = [[0.5, 0.2, 0.1, 0.1], [0.5, 0.4, 0.1, 0.3], [0.5, 0.4, -0.7, 0.3], [0.5, 0.8, -0.7, 0.9]] inv( U ) = [[6, -4.25, -0.750, 1], [-15, 15, 5, -5], [0, 1.25, -1.25, 0], [10, -10, -5, 5]] U*diag([1, 2, 3, 4])*inv( U ) = [[1, 0.25, -0.75, 0.5], [3, -1.75, -2.75, 2.5], [3, -4.75, 0.25, 2.5], [15, -16.75, -7.75, 10.5]] %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% U = [[0.5, 0.2, 0.1, 0.1], [0.5, 0.4, 0.5, 0.5], [0.5, 0.4, 0.5, -0.5], [0.5, 0.8, -0.7, -0.7]] inv( U ) = [[3.4, -1.1, 0, -0.3], [-3, 2, 0, 1], [-1, 0.5, 1, -0.5], [0, 1, -1, 0]] U*diag([1, 2, 3, 4])*inv( U ) = [[0.2, 0.8, -0.1, 0.1], [-2.2, 3.8, -0.5, -0.1], [-2.2, -0.2, 3.5, -0.1], [-1, -1.2, 0.7, 2.5]] %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% U = [[0.5, 0.2, 0.1, 0.1], [0.5, 0.4, 0.5, 0.3], [0.5, 0.4, -0.5, 0.3], [0.5, 0.8, -0.7, 0.9]] inv( U ) = [[6, -2.4, -2.6, 1], [-15, 8, 12, -5], [0, 1, -1, 0], [10, -5, -10, 5]] U*diag([1, 2, 3, 4])*inv( U ) = [[1, 0.3, -0.8, 0.5], [3, 0.7, -5.2, 2.5], [3, -2.3, -2.2, 2.5], [15, -8.5, -16, 10.5]] %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% U = [[0.5, 0.2, 0.1, 0.3], [0.5, 0.4, 0.3, 0.1], [0.5, 0.4, 0.3, 0.3], [0.5, 0.8, 0.9, 0.9]] inv( U ) = [[6, 6 -11, 1], [-15 -15, 35, -5], [10, 15 -30, 5], [0, -5, 5, 0]] U*diag([1, 2, 3, 4])*inv( U ) = [[0, -4.5, 5.5, 0], [0, 2.5, -2.5, 1], [0, -1.5, 1.5, 1], [6, 1.5, -12.5, 6]] %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% U = [[0.5, 0.1, 0.1, 0.1], [0.5, 0.1, -0.1, -0.7], [0.5, 0.7, 0.7, -0.1], [0.5, -0.7, 0.7, -0.7]] inv( U ) = [[1.96, 0.28, -0.28, 0.04], [-0.6, 0.45, 0.8, -0.65], [-0.6, -0.8, 0.8, 0.6], [1.4, -1.05, -0.2, -0.15]] U*diag([1, 2, 3, 4])*inv( U ) = [[1.24, -0.43, 0.18, 0.01], [-2.88, 3.41, 0.34, 0.13], [-1.68, -0.49, 2.74, 0.43], [-3.36, 0.77, 0.98, 2.61]] %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% U = [[0.5, 0.1, 0.1, 0.1], [0.5, 0.1, -0.1, 0.5], [0.5, 0.7, 0.7, 0.5], [0.5, -0.7, -0.7, -0.7]] inv( U ) = [[1.75, 0, 0, 0.25], [-30, 5, 15, 10], [22.5, -5, -10, -7.5], [8.75, 0, -5, -3.75]] U*diag([1, 2, 3, 4])*inv( U ) = [[5.1250, -0.5, -2, -1.6250], [5.6250, 2.5, -4, -3.1250], [23.6250, -3.5, -10, -9.1250], [-28.8750, 3.5, 14, 12.3750]] %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% U = [[0.5, 0.1, 0.1, 0.1], [0.5, 0.1, -0.1, 0.3], [0.5, 0.7, 0.7, 0.3], [0.5, -0.7, 0.7, -0.9]] inv( U ) = [[4.2, -1.4, -0.6, -0.2], [12, -9, -1, -2], [-9, 5.5, 2, 1.5], [-14, 10.5, 2, 1.5]] U*diag([1, 2, 3, 4])*inv( U ) = [[-3.8, 3.35, 0.9, 0.55], [-9.6, 8.45, 1.3, 0.85], [-16.8, 10.85, 4.9, 2.05], [16.8, -14.35, -1.9, 0.45]] %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% U = [[0.5, 0.1, 0.1, 0.1], [0.5, 0.1, 0.5, 0.5], [0.5, 0.7, 0.5, -0.5], [0.5, -0.7, -0.7, -0.7]] inv( U ) = [[1.75, 0, 0, 0.25], [3.75, -2.5, 0, -1.25], [-4.75, 3, 1, 0.75], [2.25, -0.5, -1, -0.75]] U*diag([1, 2, 3, 4])*inv( U ) = [[1.1, 0.2, -0.1, -0.2], [-1, 3, -0.5, -0.5], [-5.5, 2, 3.5, 1], [-0.7, -1.4, 0.7, 2.4]] %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% U = [[0.5, 0.1, 0.1, 0.1], [0.5, 0.1, 0.5, 0.3], [0.5, 0.7, -0.5, 0.3], [0.5, -0.7, -0.7, -0.9]] inv( U ) = [[-3, 3, 1, 1], [75, -47.5, -15, -12.5], [45, -27.5, -10, -7.5], [-95, 60, 20, 15]] U*diag([1, 2, 3, 4])*inv( U ) = [[-11, 7.75, 2.5, 1.75], [-33, 22.75, 6.5, 4.75], [-78, 48.25, 18.5, 12.25], [141, -90.25, -29.5, -20.25]] %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% U = [[0.5, 0.1, 0.1, 0.3], [0.5, 0.1, 0.3, 0.1], [0.5, 0.7, 0.3, 0.3], [0.5, -0.7, 0.9, 0.9]] inv( U ) = [[1.68, 1.68, -0.92, -0.44], [-0.6, -0.6, 1.4, -0.2], [-3.2, 1.8, 0.8, 0.6], [1.8, -3.2, 0.8, 0.6]] U*diag([1, 2, 3, 4])*inv( U ) = [[1.92, -2.58, 1.02, 0.64], [-1.44, 1.06, 0.86, 0.52], [-0.72, -2.22, 3.18, 0.76], [-0.48, -4.98, 2.62, 3.84]] %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% U = [[0.5, 0.1, 0.1, 0.1], [0.5, 0.5, 0.5, -0.5], [0.5, 0.5, -0.5, 0.5], [0.5, 0.7, -0.7, 0.7]] inv( U ) = [[0, 0, 7, -5], [0, 1, -6, 5], [5, 0 -15, 10], [5, -1 -14, 10]] U*diag([1, 2, 3, 4])*inv( U ) = [[3.5, -0.2, -7.8, 5.5], [-2.5, 3, 3, -2.5], [2.5, -1, -8, 7.5], [3.5, -1.4, -12.6, 11.5]] %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% U = [[0.5, 0.1, 0.1, 0.1], [0.5, 0.5, 0.5, 0.3], [0.5, 0.5, -0.5, 0.3], [0.5, 0.7, -0.7, 0.9]] inv( U ) = [[2.4, -0.48, 0.28, -0.2], [-3, 1.6, 2.4, -1], [0, 1, -1, 0], [1, -0.2, -2.8, 2]] U*diag([1, 2, 3, 4])*inv( U ) = [[1, 0.3, -0.8, 0.5], [-0.6, 2.62, -2.32, 1.3], [-0.6, -0.38, 0.68, 1.3], [0.6, -0.82, -4.48, 5.7]] %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% U = [[0.5, 0.1, 0.1, 0.3], [0.5, 0.5, 0.3, 0.1], [0.5, 0.5, 0.3, 0.3], [0.5, 0.7, 0.9, 0.9]] inv( U ) = [[2.4, 2.4, -2.6, -0.2], [-3, -3, 7, -1], [1, 6, -9, 2], [0, -5, 5, 0]] U*diag([1, 2, 3, 4])*inv( U ) = [[0.9, -3.6, 3.4, 0.3], [-0.9, 1.6, -0.4, 0.7], [-0.9, -2.4, 3.6, 0.7], [-0.3, -4.8, 2.2, 3.9]] %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% U = [[0.5, 0.1, 0.3, 0.3], [0.5, 0.3, 0.1, 0.3], [0.5, 0.3, 0.3, 0.1], [0.5, 0.9, 0.9, 0.9]] inv( U ) = [[0.9, 0.9, 0.9, -0.7], [-3.5, 1.5, 1.5, 0.5], [1.5, -3.5, 1.5, 0.5], [1.5, 1.5, -3.5, 0.5]] U*diag([1, 2, 3, 4])*inv( U ) = [[2.9, -0.6, -2.1, 0.8], [0.6, 2.1, -2.4, 0.7], [0.3, -1.2, 1.3, 0.6], [3.6, -0.9, -5.4, 3.7]] %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% U = [[0.2, 0.2, 0.2, 0.2], [0.4, 0.4, -0.4, 0.4], [0.4, -0.4, 0.4, 0.8], [0.8, -0.8, 0.8, -0.4]] inv( U ) = [[0, 1.25, -0.25, 0.75], [2.5, 0, -0.75, -0.25], [2.5, -1.25, 0, 0], [0, 0, 1, -0.5]] U*diag([1, 2, 3, 4])*inv( U ) = [[2.5, -0.5, 0.45, -0.35], [-1, 2, 0.9, -0.7], [1, -1, 3.7, -1.1], [2, -2, -0.6, 1.8]] %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% U = [[0.2, 0.2, 0.2, 0.1], [0.4, 0.4, -0.4, 0.1], [0.4, -0.4, 0.4, 0.7], [0.8, -0.8, -0.8, 0.7]] inv( U ) = [[8, -2.75, -2.75, 2], [-2.5, 2.5, 1.25, -1.25], [3.5, -1.75, -0.5, 0.25], [-8, 4, 4, -2]] U*diag([1, 2, 3, 4])*inv( U ) = [[-0.5, 1, 1.25, -0.75], [-6.2, 4.6, 2.1, -1.3], [-13, 6, 8.5, -3.5], [-20.4, 9.2, 8.2, -2.6]] %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% U = [[0.2, 0.2, 0.2, 0.5], [0.4, 0.4, -0.4, 0.1], [0.4, -0.4, 0.4, 0.5], [0.8, -0.8, -0.8, -0.7]] inv( U ) = [[-30, 16.25, 16.25, -7.5], [-22.5, 12.5, 11.25, -6.25], [-42.5, 21.25, 22.5, -11.25], [40, -20, -20, 10]] U*diag([1, 2, 3, 4])*inv( U ) = [[39.5, -19, -18.75, 9.25], [37, -17, -19.5, 9.5], [35, -18, -15.5, 8.5], [2, -2, -3, 3]] %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% U = [[0.2, 0.2, 0.2, 0.1], [0.4, 0.4, -0.4, 0.3], [0.4, -0.4, 0.4, 0.3], [0.8, -0.8, -0.8, 0.9]] inv( U ) = [[-30, 16.25, 16.25, -7.5], [7.5, -2.5, -3.75, 1.25], [7.5, -3.75, -2.5, 1.25], [40, -20, -20, 10]] U*diag([1, 2, 3, 4])*inv( U ) = [[17.5, -8, -7.75, 3.75], [33, -15, -17.5, 8.5], [39, -20, -17.5, 9.5], [90, -46, -47, 25]] %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% U = [[0.2, 0.2, 0.1, 0.1], [0.4, 0.4, 0.1, -0.1], [0.4, -0.4, 0.7, -0.7], [0.8, 0.8, 0.7, -0.7]] inv( U ) = [[0, 5.25, 1.25, -2], [0, -1.75, -1.25, 1.5], [5, -5.5, 0, 1.5], [5, -1.5, 0, -0.5]] U*diag([1, 2, 3, 4])*inv( U ) = [[3.5, -1.9, -0.25, 0.45], [-0.5, -0.35, -0.5, 1.05], [-3.5, -3.85, 1.5, 2.55], [-3.5, -5.95, -1, 5.35]] %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% U = [[0.2, 0.2, 0.1, 0.1], [0.4, 0.4, 0.1, 0.5], [0.4, -0.4, 0.7, -0.5], [0.8, -0.8, 0.7, 0.7]] inv( U ) = [[85, -41.25, -13.75, 7.5], [-20, 11.25, 3.75, -2.5], [-85, 42.5, 15, -7.5], [-35, 17.5, 5, -2.5]] U*diag([1, 2, 3, 4])*inv( U ) = [[-30.5, 16, 5.25, -2.75], [-77.5, 40.25, 12, -6.25], [-58.5, 28.75, 13, -5.75], [-176.5, 87.25, 28.5, -12.75]] %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% U = [[0.2, 0.2, 0.1, 0.1], [0.4, 0.4, 0.1, 0.3], [0.4, -0.4, 0.7, -0.3], [0.8, -0.8, 0.7, -0.9]] inv( U ) = [[-6, 4.25, -0.75, 1], [15, -6.25, -1.25, 0], [6, -3, 2, -1], [-14, 7, 2, -1]] U*diag([1, 2, 3, 4])*inv( U ) = [[1, 0.25, 0.75, -0.5], [-5.4, 4.2, 1.7, -1.1], [15, -8, 2.5, -0.5], [34.2, -18.1, -1.6, 2.3]] %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% U = [[0.2, 0.2, 0.1, 0.5], [0.4, -0.4, 0.5, -0.1], [0.4, 0.4, -0.5, 0.5], [0.8, -0.8, -0.7, -0.7]] inv( U ) = [[-3.4, 2.65, 2.95, -0.7], [-7.6, 3.35, 5.05, -2.3], [-2, 2, 1, -1], [6.8, -2.8, -3.4, 1.4]] U*diag([1, 2, 3, 4])*inv( U ) = [[9.28, -3.13, -3.89, 1.44], [-1, 2.5, 0, -0.5], [9.16, -4.86, -3.08, 2.18], [-5.4, 0.4, 1.7, 1.3]] %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% U = [[0.2, 0.2, 0.1, 0.1], [0.4, 0.4, 0.5, -0.3], [0.4, -0.4, 0.5, -0.3], [0.8, -0.8, -0.7, 0.9]] inv( U ) = [[-3, 2.75, -0.75, 1], [0, 1.25, -1.25, 0], [7.5, -3.75, 2.5, -1.25], [8.5, -4.25, 1.5, -0.75]] U*diag([1, 2, 3, 4])*inv( U ) = [[5.05, -1.7750, 0.7, -0.4750], [-0.15, 1.5750, 0.65, -0.5750], [-0.15, -0.4250, 2.65, -0.5750], [12.45, -7.2250, 1.55, 0.7250]] %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% U = [[0.2, 0.2, 0.1, 0.3], [0.4, 0.4, 0.3, 0.1], [0.4, -0.4, 0.3, -0.3], [0.8, 0.8, 0.9, -0.9]] inv( U ) = [[-37.5, 37.5, 1.25, -8.75], [-7.5, 7.5, -1.25, -1.25], [55, -52.5, 0, 12.5], [15, -12.5, 0, 2.5]] U*diag([1, 2, 3, 4])*inv( U ) = [[24, -20.25, -0.25, 4.5], [34.5, -31.25, -0.5, 7.75], [22.5, -23.25, 1.5, 5.75], [52.5, -54.75, -1, 15.75]] %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% U = [[0.2, 0.1, 0.1, 0.1], [0.4, 0.1, -0.1, 0.7], [0.4, 0.7, 0.7, -0.1], [0.8, 0.7, -0.7, -0.7]] inv( U ) = [[9.8, -1.4, -1.4, 0.2], [-10.4, 2.2, 2.2, 0.4], [4.3, -1.15, 0.1, -0.55], [-3.5, 1.75, 0.5, -0.25]] U*diag([1, 2, 3, 4])*inv( U ) = [[-0.23, 0.5150, 0.39, -0.1450], [-9.25, 5.1250, 1.25, -0.3750], [-0.21, -0.5950, 2.53, -0.4150], [-5.95, -0.5250, 0.35, 2.5750]] %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% U = [[0.2, 0.1, 0.1, 0.1], [0.4, 0.1, -0.1, 0.5], [0.4, 0.7, 0.7, -0.5], [0.8, 0.7, -0.7, 0.7]] inv( U ) = [[49, -21, -7, 3], [-37, 15.5, 6, -1.5], [-16, 9, 3, -2], [-35, 17.5, 5, -2.5]] U*diag([1, 2, 3, 4])*inv( U ) = [[-16.4, 8.6, 2.7, -1.3], [-53, 27, 7.5, -3.5], [4.2, -2.8, 1.9, -0.1], [-77, 35, 10.5, -2.5]] %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% U = [[0.2, 0.1, 0.1, 0.1], [0.4, 0.1, -0.1, 0.3], [0.4, 0.7, 0.7, -0.3], [0.8, 0.7, 0.7, -0.9]] inv( U ) = [[4.2, 0, -1.6, 1], [-13.2, 5, 3.6, -1], [12, -5, -1, 0], [2.8, 0, 0.6, -1]] U*diag([1, 2, 3, 4])*inv( U ) = [[2.92, -0.5, 0.34, -0.4], [-1.2, 2.5, 1.1, -1], [5.04, -3.5, 1.58, 0.2], [0, -3.5, -0.5, 3]] %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% U = [[0.2, 0.1, 0.1, 0.1], [0.4, 0.1, 0.5, 0.5], [0.4, 0.7, 0.5, -0.5], [0.8, 0.7, -0.7, -0.7]] inv( U ) = [[-105, 350, 10], [170, -550, -15], [-52, 17, 1, 4], [102, -32, -1, -9]] U*diag([1, 2, 3, 4])*inv( U ) = [[38.2, -11.7, -0.1, -3.4], [118, -35.5, -0.5, -11], [-86, 26.5, 3.5, 7], [-22.4, 4.9, 0.7, 3.8]] %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% U = [[0.2, 0.1, 0.1, 0.1], [0.4, 0.1, 0.5, 0.3], [0.4, 0.7, -0.5, -0.3], [0.8, 0.7, -0.7, -0.9]] inv( U ) = [[12, -3.25, -2.25, 1], [-12, 4.5, 3.5, -1], [-15, 6.25, 1.25, 0], [13, -4.25, -0.25, -1]] U*diag([1, 2, 3, 4])*inv( U ) = [[0.7, 0.4250, 0.5250, -0.4], [-4.5, 3.8750, 1.3750, -1], [-5.1, 0.7250, 2.4250, 0.2], [-22.5, 5.8750, 1.3750, 3]] %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% U = [[0.2, 0.1, 0.1, 0.3], [0.4, 0.1, 0.3, 0.1], [0.4, 0.7, 0.3, 0.3], [0.8, 0.7, 0.9, -0.9]] inv( U ) = [[-150, 97.5, 35, -27.5], [-15, 7.5, 5, -2.5], [190, -120, -45, 35], [45, -27.5, -10, 7.5]] U*diag([1, 2, 3, 4])*inv( U ) = [[78., -48., -17.5, 13.5], [126., -78.5, -29.5, 23. [144., -91.5, -31.5, 26. [210., -136.5, -50.5, 42.]] %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% U = [[0.2, 0.1, 0.1, 0.5], [0.4, 0.5, -0.5, -0.1], [0.4, -0.5, 0.5, 0.5], [0.8, 0.7, 0.7, 0.7]] inv( U ) = [[-1.4, 1.4, 1.4, 0.2], [0.24, -0.24, -1.24, 0.68], [-1.44, -1.06, -0.06, 0.92], [2.8, -0.3, -0.3, -0.4]] U*diag([1, 2, 3, 4])*inv( U ) = [[4.936, -0.686, -0.586, -0.348], [0.72, 2.03, -0.47, -0.46], [2.64, -1.39, 1.11, -0.02], [4.032, -2.282, -1.582, 1.924]] %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% U = [[0.2, 0.1, 0.1, 0.1], [0.4, 0.5, 0.5, -0.3], [0.4, 0.5, -0.5, 0.3], [0.8, -0.7, -0.7, 0.9]] inv( U ) = [[-3, 2, 0, 1], [2.4, -0.6, 1, -0.8], [5.1, -0.65, -1, -0.45], [8.5, -2.75, 0, -0.75]] U*diag([1, 2, 3, 4])*inv( U ) = [[4.81, -1.0150, -0.1, -0.3950], [-1.35, 2.5250, -0.5, -0.1750], [3.75, -2.1250, 2.5, -0.6250], [14.13, -6.0950, 0.7, 0.1650]] %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% U = [[0.2, 0.1, 0.1, 0.3], [0.4, 0.5, -0.3, 0.1], [0.4, 0.5, -0.3, 0.3], [0.8, -0.7, 0.9, 0.9]] inv( U ) = [[-3, 3, -1, 1], [7.5, 3.75, -5, -1.25], [8.5, 5.25, -8, -0.75], [0, -5, 5, 0]] U*diag([1, 2, 3, 4])*inv( U ) = [[3.45, -3.0750, 2.4, -0.2750], [-1.35, -1.7750, 3.8, -0.1750], [-1.35, -5.7750, 7.8, -0.1750], [10.05, -6.6750, 2.6, 0.5250]] %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% U = [[0.2, 0.1, 0.3, 0.3], [0.4, 0.3, 0.1, -0.3], [0.4, 0.3, 0.3, 0.1], [0.8, 0.9, 0.9, 0.9]] inv( U ) = [[-45, -45, 90, -10], [10, 15, -30, 5], [60, 55 -105, 10], [-30, -30, 55, -5]] U*diag([1, 2, 3, 4])*inv( U ) = [[11, 7.5, -16.5, 2], [42, 43.5, -79.5, 8], [30, 28.5, -54.5, 6], [36, 31.5, -67.5, 10]] %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% U = [[0.1, 0.1, 0.1, 0.1], [0.1, -0.1, 0.7, 0.7], [0.7, 0.7, -0.1, 0.7], [0.7, 0.7, 0.7, -0.1]] inv( U ) = [[-65, 5, 5, 5], [57.5, -5, -3.75, -3.75], [8.75, 0, -1.25, 0], [8.75, 0, 0, -1.25]] U*diag([1, 2, 3, 4])*inv( U ) = [[11.1250, -0.5, -0.6250, -0.75], [24.8750, 1.5, -1.3750, -2.25], [56.8750, -3.5, -1.3750, -5.25], [49.8750, -3.5, -4.3750, -1.25]] %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% U = [[0.1, 0.1, 0.1, 0.1], [0.1, -0.1, 0.7, 0.5], [0.7, 0.7, -0.1, 0.7], [0.7, 0.7, -0.7, 0.5]] inv( U ) = [[48.75, 5, -21.25, 15], [-21.25, -5, 13.75, -10], [8.75, 0, -1.25, 0], [-26.25, 0, 8.75, -5]] U*diag([1, 2, 3, 4])*inv( U ) = [[-7.25, -0.5, 3.75, -2.5], [-25, 1.5, 10, -6.5], [-71.75, -3.5, 29.25, -17.5], [-66.5, -3.5, 24.5, -13.5]] %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% U = [[0.1, 0.1, 0.1, 0.1], [0.1, -0.1, 0.7, 0.3], [0.7, 0.7, 0.1, 0.3], [0.7, 0.7, -0.7, -0.9]] inv( U ) = [[-51, 5, 9, -1], [54, -5, -8.5, 1.5], [21, 0, -4, 1], [-14, 0, 3.5, -1.5]] U*diag([1, 2, 3, 4])*inv( U ) = [[6.4, -0.5, -0.6, -0.1], [11.4, 1.5, -1.6, -0.1], [29.4, -3.5, -2.6, -0.1], [46.2, -3.5, -9.8, 4.7]] %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% U = [[0.1, 0.1, 0.1, 0.1], [0.1, -0.1, 0.5, 0.5], [0.7, 0.7, 0.5, 0.7], [0.7, 0.7, 0.7, 0.5]] inv( U ) = [[-205, 5, 15, 15], [145, -5, -10, -10], [350, -5, 0], [350, 0, -5]] U*diag([1, 2, 3, 4])*inv( U ) = [[33, -0.5, -2, -2.5], [73, 1.5, -4, -6.5], [210, -3.5, -11, -17.5], [203, -3.5, -14, -13.5]] %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% U = [[0.1, 0.1, 0.1, 0.1], [0.1, -0.1, 0.5, 0.3], [0.7, 0.7, 0.5, 0.3], [0.7, 0.7, 0.7, 0.9]] inv( U ) = [[-240, 5, 15, 20], [180, -5, -10, -15], [1050, -5, -10], [-350, 0, 5]] U*diag([1, 2, 3, 4])*inv( U ) = [[29.5, -0.5, -2, -2], [55.5, 1.5, -4, -4], [199.5, -3.5, -11, -16], [178.5, -3.5, -14, -10]] %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% U = [[0.1, 0.1, 0.1, 0.3], [0.1, -0.1, 0.3, 0.3], [0.7, 0.7, 0.3, 0.1], [0.7, 0.7, -0.9, -0.9]] inv( U ) = [[-0.6, 5, -0.6, 1.4], [1.5, -5, 1.5, -1], [-3.5, 0, 1.5, -1], [4.2, 0, -0.8, 0.2]] U*diag([1, 2, 3, 4])*inv( U ) = [[4.23, -0.5, -0.27, -0.12], [1.53, 1.5, 0.03, -0.32], [0.21, -3.5, 2.71, -1.24], [-3.99, -3.5, 0.51, 1.56]] %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% U = [[0.1, 0.1, 0.1, 0.1], [0.1, 0.5, 0.5, 0.5], [0.7, 0.5, -0.5, 0.7], [0.7, 0.7, 0.7, 0.5]] inv( U ) = [[12.5, -2.5, 0, 0], [-52, 3, 1, 6], [14.5, -0.5, -1, -1], [35, 0, 0, -5]] U*diag([1, 2, 3, 4])*inv( U ) = [[9.2, 0.2, -0.1, -1.1], [41, 2, -0.5, -5.5], [33, 2, 2.5, -6.5], [36.4, 1.4, -0.7, -3.7]] %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% U = [[0.1, 0.1, 0.1, 0.1], [0.1, 0.5, 0.5, -0.3], [0.7, 0.5, -0.5, -0.3], [0.7, 0.7, -0.7, -0.9]] inv( U ) = [[-75, 15, 35, -25], [86.25, -16.25, -37.5, 27.5], [-45, 10, 20, -15], [43.75, -8.75, -17.5, 12.5]] U*diag([1, 2, 3, 4])*inv( U ) = [[13.75, -2.25, -5, 3.5], [-41.25, 10.75, 17, -12.5], [48.75, -10.25, -22, 17.5], [5.25, -1.75, -7, 7.5]] %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% U = [[0.1, 0.1, 0.1, 0.3], [0.1, 0.5, 0.3, -0.1], [0.7, 0.5, -0.3, 0.3], [0.7, 0.7, -0.9, -0.9]] inv( U ) = [[-24.6, 2.4, 9.8, -5.2], [17.4, -0.6, -6.2, 3.8], [-17, 3, 6, -4], [11.4, -1.6, -3.2, 1.8]] U*diag([1, 2, 3, 4])*inv( U ) = [[9.6, -0.9, -2.3, 1.2], [-4.92, 2.98, 1.46, -1.04], [29.16, -3.54, -8.58, 5.92], [12, -1.5, -6.5, 6]] %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% U = [[0.1, 0.1, 0.3, 0.3], [0.1, 0.3, 0.1, 0.3], [0.7, 0.3, 0.3, 0.1], [0.7, 0.9, -0.9, -0.9]] inv( U ) = [[-9, 3.6, 3.6, -1.4], [10, -3, -3, 2], [15, -8, -3, 2], [-12, 7.8, 2.8, -2.2]] U*diag([1, 2, 3, 4])*inv( U ) = [[0.2, 1.92, 0.42, -0.58], [-4.8, 5.52, 1.02, -0.98], [8.4, -3.36, -0.86, 1.14], [14.4, -9.36, -4.86, 5.14]] %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% U = [[0.1, 0.1, 0.1, 0.1], [0.5, 0.5, -0.5, -0.5], [0.5, -0.5, 0.5, 0.7], [0.7, -0.7, -0.7, -0.5]] inv( U ) = [[17.5, -2.5, -2.5, 2.5], [-12.5, 3.5, 2.5, -2.5], [92.5, -18.5, -17.5, 12.5], [-87.5, 17.5, 17.5, -12.5]] U*diag([1, 2, 3, 4])*inv( U ) = [[-8, 1.9, 2, -1.5], [32.5, -5, -7.5, 5], [-85, 16.5, 19, -12.5], [10.5, -2.8, -3.5, 4]] %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% U = [[0.1, 0.1, 0.1, 0.1], [0.5, 0.5, -0.5, 0.3], [0.5, -0.5, 0.5, -0.3], [0.7, -0.7, -0.7, -0.9]] inv( U ) = [[0, 1, 1, 0], [33, -5.6, -6.6, 4], [12, -2.4, -1.4, 1], [-35, 7, 7, -5]] U*diag([1, 2, 3, 4])*inv( U ) = [[-3.8, 1.06, 1.16, -0.9], [-27, 6.9, 4.4, -3.5], [27, -5.9, -3.4, 3.5], [54.6, -11.62, -12.32, 10.3]] %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% U = [[0.1, 0.1, 0.1, 0.3], [0.5, 0.5, 0.3, 0.1], [0.5, -0.5, 0.3, 0.3], [0.7, 0.7, -0.9, 0.9]] inv( U ) = [[-2.46, 0.96, 1, 0.38], [0.66, 0.84, -1, 0.02], [1.9, 0.6, 0, -0.7], [3.3, -0.8, 0, 0.1]] U*diag([1, 2, 3, 4])*inv( U ) = [[4.416, -0.516, -0.1, -0.048], [2.46, 1.54, -0.5, -0.38], [3.78, -0.78, 1.5, -0.34], [5.952, -2.652, -0.7, 2.544]] %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% U = [[0.1, 0.1, 0.3, 0.3], [0.5, 0.3, 0.1, 0.3], [0.5, 0.3, 0.3, 0.1], [0.7, 0.9, 0.9, 0.9]] inv( U ) = [[1.8, 1.8, 1.8, -1.4], [-6.2, -1.2, -1.2, 2.6], [2.4, -2.6, 2.4, -0.2], [2.4, 2.4, -2.6, -0.2]] U*diag([1, 2, 3, 4])*inv( U ) = [[3.98, 0.48, -1.02, -0.04], [0.78, 2.28, -2.22, 0.56], [0.3, -1.2, 1.3, 0.6], [5.22, 0.72, -3.78, 2.44]] %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% U = [[0.1, 0.3, 0.3, 0.3], [0.3, 0.1, 0.3, 0.3], [0.3, 0.3, 0.1, -0.9], [0.9, 0.9, 0.9, -0.1]] inv( U ) = [[-12.5, -7.5, -7.5, 7.5], [-7.5, -12.5, -7.5, 7.5], [19.5, 19.5, 14.5, -13.5], [-4.5, -4.5, -4.5, 3.5]] U*diag([1, 2, 3, 4])*inv( U ) = [[6.4, 3.9, 2.4, -2.7], [6.9, 7.4, 3.9, -4.2], [13.8, 12.3, 13.8, -9.9], [29.7, 25.2, 20.7, -17.6]]