(i). Show that the set of complex numbers is a field.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:20:18 P & P
(i). Show that the set of complex numbers is a field.
(ii). Show that
for z, w€ C.
(iii). Simplify the following:
(a). 59, in terms of polar coordinates.
(b). 3i
1+5i
(c). Given that 2₁ = 3+2i and 22 = 12-5. Find 22 in terms of real and imaginary part.
21
(d). 2-i, in terms of polar coordinates.
(iv). Describe the following geometrically:
(a). | 2 | Re(z) +1.
(b). Im(2²) < 2.
Г
4G 9%
1
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=
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