Dear all,
I have a simple question for you. Any help will be very appreciated.
==Assumptions===
I have a 2x2 matrix, with real entries:
A B
C D
Such matrix has unit determinant, ADBC=1.
(For those of you in group theory: the above is a representative of SL(2,R)).
==Question===
The above matrix, due to the unitdeterminant condition, has 3 independent parameters.
So, I would like to represent the 2x2 real matrix with unit determinant in a more convenient form: a form which depends on only 3 parameters.
For instance, I could try and relate the above matrix to a rotation matrix, that is, one of the independent parameters would be a rotation angle.
Any ideas on a convenient "minimal" representation?
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Thanks a lot!
IVL
