Prove that if T is a Mobius transformation such that T(0) = 0, then T may be written as T(z) = z/(cz+d) for some choices of c and d.
General Mobius transformation is T = (az+b)/(cz+d), where
ad-bc not= 0 ...
A Mobius transformation is investigated. The solution is detailed and well presented. The response received a rating of "5/5" from the student who originally posted the question.