Matrix:
      0.00     0.00     0.00     0.00     0.00     0.00     0.00     1.00
      1.00     0.00     0.00     0.00     0.00     0.00     0.00     0.00
      0.00     1.00     0.00     0.00     0.00     0.00     0.00     0.00
      0.00     0.00     1.00     0.00     0.00     0.00     0.00     0.00
      0.00     0.00     0.00     1.00     0.00     0.00     0.00     0.00
      0.00     0.00     0.00     0.00     1.00     0.00     0.00     0.00
      0.00     0.00     0.00     0.00     0.00     1.00     0.00     0.00
      0.00     0.00     0.00     0.00     0.00     0.00     1.00     0.00

 Eigenvalues:

        Real           Imag.

   -0.100000E+01   0.000000E+00
   -0.707107E+00  -0.707107E+00
   -0.707107E+00   0.707107E+00
   -0.827240E-07  -0.100000E+01
   -0.827240E-07   0.100000E+01
    0.707107E+00  -0.707107E+00
    0.707107E+00   0.707107E+00
    0.100000E+01   0.000000E+00

 Matrix:
      3.00     2.00     1.00     2.00     1.00     4.00     1.00     2.00
      2.00     1.00     3.00     1.00     2.00     2.00     1.00     4.00
      0.00     3.00     1.00     2.00     1.00     2.00     1.00     3.00
      0.00     0.00     1.00     1.00     2.00     1.00     3.00     1.00
      0.00     0.00     0.00     0.00     3.00     1.00     4.00     2.00
      0.00     0.00     0.00     0.00     0.00     2.00     1.00     4.00
      0.00     0.00     0.00     0.00     0.00     1.00     2.00     3.00
      0.00     0.00     0.00     0.00     0.00     0.00     3.00     2.00

 Eigenvalues:

        Real           Imag.

   -0.242951E+01   0.000000E+00
    0.240849E-05   0.000000E+00
    0.354247E+00   0.000000E+00
    0.866367E+00   0.000000E+00
    0.194496E+01   0.000000E+00
    0.300000E+01   0.000000E+00
    0.561819E+01   0.000000E+00
    0.564575E+01   0.000000E+00

 Matrix:
      3.00     1.00     2.00     5.00
      2.00     1.00     3.00     7.00
      3.00     1.00     2.00     4.00
      4.00     1.00     3.00     2.00

 Transformed Matrix:
      3.00     7.00     3.32     2.00
      4.00     4.75     3.98     3.00
      0.75     3.69     1.00     0.75
      0.25     0.66    -0.32    -0.75

 Eigenvalues:

        Real           Imag.

   -0.236630E+01   0.000000E+00
   -0.417025E+00   0.000000E+00
    0.191347E+00   0.000000E+00
    0.105920E+02   0.000000E+00

 Matrix:
      1.00     2.00     0.00     0.00     0.00
     -2.00     3.00     0.00     0.00     0.00
      3.00     4.00    50.00     0.00     0.00
     -4.00     5.00   -60.00     7.00     0.00
     -5.00     6.00   -70.00     8.00    -9.00

 Transformed Matrix:
      1.00     2.00     0.00     0.00     0.00
     -2.00     3.00     0.00     0.00     0.00
     -0.75   -33.25    50.00     0.00     0.00
      0.06    -0.10     0.41     7.00     0.00
      0.04    -0.05     0.28    -0.45    -9.00

 Eigenvalues:

        Real           Imag.

   -0.900000E+01   0.000000E+00
    0.200000E+01  -0.173205E+01
    0.200000E+01   0.173205E+01
    0.700000E+01   0.000000E+00
    0.500000E+02   0.000000E+00