Let w be the complex number (1/2) (1 + i). (a) Show that w8 = 1 but

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Let w be the complex number (1/√2) (1 + i).
(a) Show that w8 = 1 but of wn ≠ 1 for n ∈ Z+, 1 ≤ n ≤ 7.
(b) Verify that [wn|n ∈ Z+, 1 ≤ n ≤ 8] is an abelian group under multiplication.

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Discrete and Combinatorial Mathematics An Applied Introduction

ISBN: 978-0201726343

5th edition

Authors: Ralph P. Grimaldi

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Question Posted: Jun 21, 2016 09:06 AM

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Let w be the complex number (1/2) (1 + i). (a) Show that w8 = 1 but

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a w 12 1 i w 2 i w 3 12 1 i w 4 1 w 5 12 1 i w 6 i w 7 ...View the full answer

Discrete and Combinatorial Mathematics An Applied Introduction

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