We use cookies to personalise content and advertisements and to analyse access to our website. Furthermore, our partners for online advertising receive pseudonymised information about your use of our website. cookie policy and privacy policy.

Let T( z ) = (az+b)/(cz+d) 
Find a, b, c, d in ℂ with T( 0 ) = -0.5 - 1.5i, T( 1 ) = 3 + 4.5i and T( ∞ ) = 1.5 - 2.5i


Hey,guys.This is last question of my exercise and this is due 8 hours later.I can't solve it and  I think it has no solution.Someone please give this a try.Thank you in advance. Basically, you get 3 equation: b/d=-0.5-1.5i   (a+b)/(c+d)=3+4.5i, a/c =1.5-2.5i  and solve the system of equation for a,b,c,d with some complex number trick.

See chapter 3 section 1 and section 2 of the following book for reference.


See you guys later.

 Oct 5, 2018

I found the answer with wolframalpha,simply enter these b/d=-0.5-1.5i  , (a+b)/(c+d)=3+4.5i, a/c =1.5-2.5i to wolframalpha to get the answer.However, I still encourage you to give this a try by yourself.

 Oct 5, 2018

Hi Fiora,

I did look at your question but it was bejond me. :(

 Oct 7, 2018

11 Online Users