Let a = e =es and consider the set U₁8 = {1, a, a²,..., a¹7}. Give the elements of U18 (as powers of a) that are primitive nth roots of unity for the following n. 1. n = 2 2. n = 3 3. n = 6 4. n = 9 5. n = 18

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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Question
: {1, α, α²,...,
=
Let ae
and consider the set U18
a) that are primitive nth roots of unity for the following n.
1. n = 2
2. n =
= 3
3. n = 6
πί
a¹7}. Give the elements of U18 (as powers of
4. n = 9
5. n = 18
Transcribed Image Text:: {1, α, α²,..., = Let ae and consider the set U18 a) that are primitive nth roots of unity for the following n. 1. n = 2 2. n = = 3 3. n = 6 πί a¹7}. Give the elements of U18 (as powers of 4. n = 9 5. n = 18
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