Thread: Complex analysis

Hi.

I have a problem with my homework. I can't solve this function:

f(z)= (az + b)/(cz + d)

which transfers -1-2i -> -5i, 3 -> 1+5i and -4-3i -> -4+3i

and then calculate w=f(-6-5i).

I've tried to solve this problem for three times and I still haven't got the right resultat. Please help me! bye

Originally Posted by sasom

Hi.

I have a problem with my homework. I can't solve this function:

f(z)= (az + b)/(cz + d)

which transfers -1-2i -> -5i, 3 -> 1+5i and -4-3i -> -4+3i

and then calculate w=f(-6-5i).

I've tried to solve this problem for three times and I still haven't got the right resultat. Please help me! bye

Solve the following two equations for a, b, c and d:


.... (1)


.... (2)


If you have attemped this, please show your working.

hey

I got this:

a(-75/29 -57/29i)+ c(457/29 + 171/29i)= 0

Originally Posted by sasom

hey

I got this:

a(-75/29 -57/29i)+ c(457/29 + 171/29i)= 0

Let me re-word my request:

Please show ALL your working.

OK, when I get home I'll post scans.

Hi!





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