Find the bilinear transformation which maps the points z = 0, -I, i onto w = i, 0, 0. Also find the image of the unit circle | z| = 1.
Find the bilinear transformation which maps the points z = 0, -I, i onto w = i, 0, 0. Also find the image of the unit circle | z| = 1.
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section: Chapter Questions
Problem 41RE
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![Find the bilinear transformation which maps the points z =
= 0, -1, i onto
w = i, 0, 0. Also find the image of the unit circle z| = 1.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fbd085289-ed05-4af9-97d2-68208d6846db%2F4043c017-6e73-457d-a479-04c2d83c84cb%2Fjchhatr_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Find the bilinear transformation which maps the points z =
= 0, -1, i onto
w = i, 0, 0. Also find the image of the unit circle z| = 1.
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