Eigenvalue Decomposition A=V*D*V^T Random symmetric matrix A: -0.503 -0.779 -0.066 0.543 0.315 -0.779 -0.134 -0.292 0.888 -0.797 -0.066 -0.292 0.285 -0.943 -0.504 0.543 0.888 -0.943 -0.36 0.98 0.315 -0.797 -0.504 0.98 0.364 Number of sweeps=6 V^T*A*V (should be diagonal): -2.16 -3.66e-14 -4.48e-09 -3.33e-16 -1.67e-16 -3.67e-14 -0.574 -4.64e-14 6.59e-10 -2.36e-16 -4.48e-09 -4.65e-14 -0.533 -8.13e-11 -1.67e-16 -3.61e-16 6.59e-10 -8.13e-11 1.08 -7.89e-10 -1.67e-16 -2.22e-16 -1.11e-16 -7.89e-10 1.84 Eigenvalues (should equal the diagonal elements above): -2.16 -0.574 -0.533 1.08 1.84