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Math Help - Complex analysis

  1. #1
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    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
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  2. #2
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    Quote Originally Posted by sasom View Post
    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:


    -5i = \frac{a(-1-2i) + b}{c(-1 - 2i) + d} .... (1)


    -4 + 3i = \frac{a(-4 + 3i) + b}{c(-4 + 3i) + d} .... (2)


    If you have attemped this, please show your working.
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  3. #3
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    hey

    I got this:

    a(-75/29 -57/29i)+ c(457/29 + 171/29i)= 0
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  4. #4
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    Quote Originally Posted by sasom View Post
    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.
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  5. #5
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    OK, when I get home I'll post scans.
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  6. #6
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    Hi!





    Huge numbers
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