I desperately need urgent help, and I will be very grateful if someone (Nod) could help me.

My problem (Headbang) is how to find a transformation matrix [T] of a matrix [M], as specified in the example below:

Let

[M]=

[a, b+jc, d+je;

-b-jc, f, b+jc;

-d-je, -b-jc, a ]

As we notice that [M] is symetric

Now let define

N=

[d+je, 0, 0;

0, a, b+jc;

0, -b-jc, f ]

where the subMatrix

[a, b+jc;

-b-jc, f ].

where [ T ]*[M]*[ T ]

^{conjTr }=[N]

The purpose, is to get the form of N. Without losing information. And the sub matrix

Thank you,