2. Exercise §3.3 #6 "Show that a linear fractional transformation T that maps the circle|2| = 1 onto itself has the formT(2) = X-JA| = 1, |# 1,|A| = 1."or1- 7z'is too nasty computationally. This is part of it: Show that the two displayed transformationmap |2| = 1 to itself. Also, what happens to the first one if |yl = 1? Hint: write y = eia.

To show that a linear fractional transformation T that maps the circle z=1onto itself has the form…

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

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter6: Vector Spaces

Section6.4: Linear Transformations

Problem 3EQ: In Exercises 1-12, determine whether T is a linear transformation. T:MnnMnn defines by T(A)=AB,...

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