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Math Help - Can someone help me with this question for complex analysis?!

  1. #1
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    Can someone help me with this question for complex analysis?!

    1) A liner mapping maps the point (1+i) onto (6+5i) and the point (1-i) onto (4+i). Find this linear mapping and any fixed points associated with it.

    Can I found somewhere some good nodes for complex analysis becuase I m really confuse.

    Thanks a lot!
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  2. #2
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    How about using determinants to solve for a and b in the equation:

    w=za+b

    You got two points, two equations, two unknowns right?

    Then solve for the fixed points:

    z=za+b
    Last edited by shawsend; May 25th 2009 at 10:00 AM. Reason: removed quadratic formula reference, not needed
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  3. #3
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    Oh now is clear many thanks!
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  4. #4
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    Quote Originally Posted by NaNa View Post
    1) A liner mapping maps the point (1+i) onto (6+5i) and the point (1-i) onto (4+i). Find this linear mapping and any fixed points associated with it.

    Can I found somewhere some good nodes for complex analysis becuase I m really confuse.

    Thanks a lot!
    A linear function must be of the form f(z)= az+ b. Since it maps 1+ i onto 6+_5i, 6+ 5i= a(1+ i)+ b and since it maps 1- i onto 4+ i, 4+ i= a(1- i)+ b. That gives you two equations to solve for a and b.
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