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What steps would we take to find: Let S z = az+b/( cz+d) and T z...

What steps would we take to find:

Let S z = az+b/( cz+d) and T z = αz+β/(γz+δ) , show that S = T iff there is a non zero complex number λ such that α = λa, β = λb, γ = λc, δ = λd.

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