Eigenvalue Decomposition A=V*D*V^T
Random symmetric matrix A:
 2.577e+00 -2.751e+00  6.842e+00  2.369e+00 -6.207e-01 -4.584e+00 -2.464e+00 
-2.751e+00 -1.005e+01 -4.646e+00  1.963e+00 -7.976e-01  3.992e-01 -2.139e+00 
 6.842e+00 -4.646e+00  1.111e-01 -5.874e-01 -2.659e+00 -3.840e+00  1.110e+00 
 2.369e+00  1.963e+00 -5.874e-01 -1.733e-01  7.123e-01 -5.237e-01  5.672e+00 
-6.207e-01 -7.976e-01 -2.659e+00  7.123e-01  9.564e+00 -2.626e+00  5.597e+00 
-4.584e+00  3.992e-01 -3.840e+00 -5.237e-01 -2.626e+00 -1.013e+01 -5.505e+00 
-2.464e+00 -2.139e+00  1.110e+00  5.672e+00  5.597e+00 -5.505e+00  3.896e+00 
V^T*A*V (should be diagonal):
-1.512e+01  7.289e-14  1.554e-15 -2.797e-09  6.175e-11  4.631e-12  4.330e-13 
 7.111e-14 -1.120e+01 -7.216e-16  2.024e-09 -5.827e-12 -5.249e-13  2.853e-14 
 1.665e-15  3.331e-16 -8.038e+00 -4.011e-10 -1.088e-14 -2.776e-16 -1.554e-15 
-2.797e-09  2.024e-09 -4.011e-10 -6.427e-01  1.082e-15  4.094e-16  1.413e-08 
 6.175e-11 -5.827e-12 -1.144e-14  1.221e-15  3.821e+00 -1.832e-15  3.305e-09 
 4.630e-12 -5.258e-13 -1.554e-15 -7.772e-16 -2.220e-15  1.168e+01  4.928e-10 
 4.334e-13  2.842e-14 -1.776e-15  1.413e-08  3.305e-09  4.928e-10  1.528e+01 
Eigenvalues (should equal the diagonal elements above):
-1.512e+01 -1.120e+01 -8.038e+00 -6.427e-01  3.821e+00  1.168e+01  1.528e+01