e) Define W: Z -Z and V: Z → Z by the rules W(a) = a² and V(a) = a mod 5 for all integers a. Find the following: (W • V)(6) (V o W)(9) i. ii. iii. Is (W • V) = (V •W) for all integers a E Z? Justify your answer.
e) Define W: Z -Z and V: Z → Z by the rules W(a) = a² and V(a) = a mod 5 for all integers a. Find the following: (W • V)(6) (V o W)(9) i. ii. iii. Is (W • V) = (V •W) for all integers a E Z? Justify your answer.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question
Transcribed Image Text:e)
Define W: Z → Z and V: Z → Z by the rules W(a) = a? and V(a) = a mod 5 for all integers
%3D
a. Find the following:
(W • V)(6)
(V o W)(9)
i.
ii.
iii.
Is (W o V) = (V o W) for all integers a E Z? Justify your answer.
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