Jaynte
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Homework Statement
I want to know how I could extract T from Tz in matrix form so I can
get [tex]T^{-1}[/tex] to get the inverse of w(z).
w(z)=Tz=[tex]\frac{az+b}{cz+d}[/tex]
The discussion revolves around the inverse of a Möbius transform, specifically the function w(z) = (az + b) / (cz + d). The original poster seeks to understand how to derive the inverse transformation in matrix form.
Some participants have provided insights into the limitations of expressing the Möbius transform as a matrix and suggested algebraic methods for finding the inverse. There is an acknowledgment of the complexity involved in inverting the function.
There is an indication of fatigue from the original poster, which may affect the depth of engagement in the discussion. The conversation reflects a mix of confusion and attempts to clarify the mathematical concepts involved.