n=7 Eigenvalue Decomposition A=V*D*V^T Random matrix A: 0.249 0.111 0.467 0.772 0.658 0.433 0.354 0.111 0.944 0.101 0.642 0.0286 0.248 0.32 0.467 0.101 0.99 0.682 0.655 0.283 0.615 0.772 0.642 0.682 0.704 0.702 0.95 0.0934 0.658 0.0286 0.655 0.702 0.161 0.382 0.798 0.433 0.248 0.283 0.95 0.382 0.169 0.794 0.354 0.32 0.615 0.0934 0.798 0.794 0.307 Number of sweeps=6 V^T*A*V (should be diagonal): -1.14 3.28e-11 2.92e-13 -2.22e-16 -2.22e-16 -6.22e-11 -6.48e-12 3.28e-11 -0.509 -2.53e-12 6.59e-17 3.47e-17 -4.86e-09 -8.71e-11 2.92e-13 -2.53e-12 -0.149 1.63e-16 1.21e-16 -3.31e-11 -7.73e-13 -9.71e-17 7.98e-17 8.2e-17 0.353 1.35e-11 -1.75e-15 -2.91e-16 -2.22e-16 9.02e-17 1.19e-16 1.35e-11 0.43 6.94e-17 -7.77e-16 -6.22e-11 -4.86e-09 -3.31e-11 -1.73e-15 1.39e-17 1.04 1.01e-08 -6.48e-12 -8.71e-11 -7.73e-13 -2.22e-16 -6.66e-16 1.01e-08 3.5 Eigenvalues (should equal the diagonal elements above): -1.14 -0.509 -0.149 0.353 0.43 1.04 3.5