N-1 Σe²rijk/N = 0 j=0 when 0

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter2: Equations And Inequalities
Section2.1: Equations
Problem 76E
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Please do Exercise 7 part A,B,C and show step by step and explain

N-1
Σe²rijk/N = 0
j=0
when 0 <k < N.
Exercise 7.
(a) Equation (3) does not include the case k = 0. What result do you get for the sum eijk/N when
k=0?
(b) Show that the result of part (a) can be combined with Equation (3) to give an equation of the form:
N-1
e2rijk/N = C-8k0
when 0 ≤ k < N,
(3)
N-1
j=0
and give the value of the constant C.
(c) Use your result from(b) to simplify the expression EN-¹e2ij(k-m)/N, where m is an integer such that
0 <m<N.
Transcribed Image Text:N-1 Σe²rijk/N = 0 j=0 when 0 <k < N. Exercise 7. (a) Equation (3) does not include the case k = 0. What result do you get for the sum eijk/N when k=0? (b) Show that the result of part (a) can be combined with Equation (3) to give an equation of the form: N-1 e2rijk/N = C-8k0 when 0 ≤ k < N, (3) N-1 j=0 and give the value of the constant C. (c) Use your result from(b) to simplify the expression EN-¹e2ij(k-m)/N, where m is an integer such that 0 <m<N.
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