Dear all,(adsbygoogle = window.adsbygoogle || []).push({});

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

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# Casting 2x2 matrix with unit determinant in another form

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