2. Find the image under the Möbius transformation f(z) = 1/z of the following sets: (a) the line Rez = 2; (b) the line Im z = -1; (c) the circle |z| = 4;

Elementary Linear Algebra (MindTap Course List)
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Chapter7: Eigenvalues And Eigenvectors
Section7.CM: Cumulative Review
Problem 16CM
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2. Find the image under the Möbius transformation f(z) = 1/z of the following sets:
(a) the line Rez = 2;
(d) the circle |z-1|= 1;
(c) the circle |z| = 4;
(b) the line Imz -1;
(e) the circle |z3i| = 1.
Transcribed Image Text:2. Find the image under the Möbius transformation f(z) = 1/z of the following sets: (a) the line Rez = 2; (d) the circle |z-1|= 1; (c) the circle |z| = 4; (b) the line Imz -1; (e) the circle |z3i| = 1.
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