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Depict and describe the behavior of each of the following maps, in either polar or rectangular form. (i) z → z², (ii) z → z, (iii) z → ÷, (iv) z → |z|, (v) z → iz. For each of the mappings (i) – (v) in the above problem, answer the following question: (a) Is the map a transformation on C? (b) Is it a collineation on C? (c) Is it an isometry on C?

Depict and describe the behavior of each of the following maps, in either polar or rectangular form. (i) z → z², (ii) z → z, (iii) z → ÷, (iv) z → |z|, (v) z → iz. For each of the mappings (i) – (v) in the above problem, answer the following question: (a) Is the map a transformation on C? (b) Is it a collineation on C? (c) Is it an isometry on C?

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Please just solve #4. Thank you. 

3. Depict and describe the behavior of each of the following maps, in either polar or rectangular form. (i) z → z?, (ii) z → 7, (iii) z →, (iv) z → |z|, (v) z → iz. 4. For each of the mappings (i) – (v) in the above problem, answer the following question: (a) Is the map a transformation on C? (b) Is it a collineation on C? (c) Is it an isometry on C?
Transcribed Image Text:3. Depict and describe the behavior of each of the following maps, in either polar or rectangular form. (i) z → z?, (ii) z → 7, (iii) z →, (iv) z → |z|, (v) z → iz. 4. For each of the mappings (i) – (v) in the above problem, answer the following question: (a) Is the map a transformation on C? (b) Is it a collineation on C? (c) Is it an isometry on C?
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