M417
Fall 1996
hw15.tex due Dec. 4, 1996
1.
Find the fractional linear transformation which carries the points 1, i, −1 into the points 1, i, −i respectively.
a)
What is the image of the circle {|z| = 1}?
b)
What is the image of the open disk {|z| < 1 }?
2.
Find the fractional linear transformation which carries the points 1, i, −1 into the points 1, − i, i respectively.
a)
What is the image of the circle {|z| = 1}?
b)
What is the image of the open disk {|z| < 1 }?
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On 06 Feb 2017, 13:27.