Find the bilinear transformation which maps the points z = 0, -1, i onto w = i, 0, 00. 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
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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.
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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