Eigenvalue Decomposition A=V*D*V^T
Random symmetric matrix A:
     2.58     -2.75      6.84      2.37    -0.621     -4.58     -2.46 
    -2.75     -10.1     -4.65      1.96    -0.798     0.399     -2.14 
     6.84     -4.65     0.111    -0.587     -2.66     -3.84      1.11 
     2.37      1.96    -0.587    -0.173     0.712    -0.524      5.67 
   -0.621    -0.798     -2.66     0.712      9.56     -2.63       5.6 
    -4.58     0.399     -3.84    -0.524     -2.63     -10.1     -5.51 
    -2.46     -2.14      1.11      5.67       5.6     -5.51       3.9 

V^T*A*V (should be diagonal):
    -15.1  7.29e-14  1.55e-15  -2.8e-09  6.18e-11  4.63e-12  4.33e-13 
 7.11e-14     -11.2 -7.22e-16  2.02e-09 -5.83e-12 -5.25e-13  2.85e-14 
 1.67e-15  3.33e-16     -8.04 -4.01e-10 -1.09e-14 -2.78e-16 -1.55e-15 
 -2.8e-09  2.02e-09 -4.01e-10    -0.643  1.08e-15  4.09e-16  1.41e-08 
 6.18e-11 -5.83e-12 -1.14e-14  1.22e-15      3.82 -1.83e-15   3.3e-09 
 4.63e-12 -5.26e-13 -1.55e-15 -7.77e-16 -2.22e-15      11.7  4.93e-10 
 4.33e-13  2.84e-14 -1.78e-15  1.41e-08   3.3e-09  4.93e-10      15.3 

Eigenvalues (should equal the diagonal elements above):
    -15.1     -11.2     -8.04    -0.643      3.82      11.7      15.3