Question: Exercise 2. Choose a,b,c,dR such that adcb=1. We consider the fractional linear transformation f defined by: f(z)=cz+daz+b. Define: H={zC:Imz>0}. Show that f defines a bijection

$Exercise 2. Choose a,b,c,dR such that adcb=1. We consider the fractional$

Exercise 2. Choose a,b,c,dR such that adcb=1. We consider the fractional linear transformation f defined by: f(z)=cz+daz+b. Define: H={zC:Imz>0}. Show that f defines a bijection from H to H

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