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4. Prove that any Mbius transformation can be written in a form with determinant 1, and that this form is unique up to sign.
4. Prove that any Mbius transformation can be written in a form with determinant 1, and that this form is unique up to sign. Hint How does the determinant of T(z) = (az + b)/(cz + d) change if we multiply top and bottom of the map by some constant k?
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