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 P: 27 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, AD-BC=1. (For those of you in group theory: the above is a representative of SL(2,R)). ==Question=== The above matrix, due to the unit-determinant 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? ========= Thanks a lot! IVL