Eigenvalue Decomposition A=V*D*V^T
calculating first 2 eigenvalues
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 
rotations:228
V^T*A*V : 2 rows should be zeroed
     -1.14   1.87e-09  -5.28e-09  -7.88e-09   1.17e-09  -1.29e-09     -4e-09 
  1.87e-09     -0.509  -6.45e-09  -1.25e-09   3.43e-09   2.84e-16  -2.92e-09 
 -5.28e-09  -6.45e-09       1.47      0.783      0.706      0.848      0.663 
 -7.88e-09  -1.25e-09      0.783        1.2       0.25      0.752      0.379 
  1.17e-09   3.43e-09      0.706       0.25       1.23      0.345      0.512 
 -1.29e-09   3.19e-16      0.848      0.752      0.345      0.593      0.668 
    -4e-09  -2.92e-09      0.663      0.379      0.512      0.668      0.678 
First 2 eigenvalues (should equal the diagonal elements above):
-1.140-0.509