Draw the following sets of complex numbers in the complex plane and prove that these sets are multiplicative groups: (a) {1,i, –1, -i} (b) V3 + i- 2 1 2 (c) V3 +i V3 -1. 2

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Draw the following sets of complex numbers in the complex plane and prove
that these sets are multiplicative groups:
(a)
{1, i, –1, -i}
(b)
1
+ i-
2
2
2
(c)
V3
+i
V3
-1.
Transcribed Image Text:Draw the following sets of complex numbers in the complex plane and prove that these sets are multiplicative groups: (a) {1, i, –1, -i} (b) 1 + i- 2 2 2 (c) V3 +i V3 -1.
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