Which of the following Mobius transformation maps i → 0, 2 → i, 3+i→ ∞. (z – i)(-1+i) (z+3 – i)(2 – i) - (z+ i)(1+i) (z – 3+ i)(2 – i) (z – i)(–1 – i) (z – 3 – i)(2 – i) (z – i)(1 – i) (z – i)(2 – i) -

Which of the following Mobius transformation maps i → 0, 2 → i, 3+i→ ∞. (z – i)(-1+i) (z+3 – i)(2 – i) - (z+ i)(1+i) (z – 3+ i)(2 – i) (z – i)(–1 – i) (z – 3 – i)(2 – i) (z – i)(1 – i) (z – i)(2 – i) -

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter6: Vector Spaces

Section6.5: The Kernel And Range Of A Linear Transformation

Problem 4EQ

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Question

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Which of the following Mobius transformation maps
i → 0, 2 → i, 3+i → ∞.
(z – i)(-1+i)
(z+ 3 – i)(2 – i)
|
(z + i)(1+i)
(z – 3+ i)(2 – i)
(z – i)(-1 – i)
(z – 3 – i)(2 – i)
(z – i)(1 – i)
(z – i)(2 – i)
|

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