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2. Exercise §3.3 #6 “Show that a linear fractional transformation T that maps the circle 2 = 1 onto itself has the form T(2) = = 1, #1, or Tz TA| = 1." 1- 7' is too nasty computationally. This is part of it: Show that the two displayed transformation map |2| = 1 to itself. Also, what happens to the first one if y = = eia. 1? Hint: write y = %3D

2. Exercise §3.3 #6 “Show that a linear fractional transformation T that maps the circle 2 = 1 onto itself has the form T(2) = = 1, #1, or Tz TA| = 1." 1- 7' is too nasty computationally. This is part of it: Show that the two displayed transformation map |2| = 1 to itself. Also, what happens to the first one if y = = eia. 1? Hint: write y = %3D

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2. Exercise §3.3 #6 "Show that a linear fractional transformation T that maps the circle |2| = 1 onto itself has the form T(2) = X- JA| = 1, |# 1, |A| = 1." or 1- 7z' is too nasty computationally. This is part of it: Show that the two displayed transformation map |2| = 1 to itself. Also, what happens to the first one if |yl = 1? Hint: write y = eia.
Transcribed Image Text:2. Exercise §3.3 #6 "Show that a linear fractional transformation T that maps the circle |2| = 1 onto itself has the form T(2) = X- JA| = 1, |# 1, |A| = 1." or 1- 7z' is too nasty computationally. This is part of it: Show that the two displayed transformation map |2| = 1 to itself. Also, what happens to the first one if |yl = 1? Hint: write y = eia.
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