e) Define W:Z → Z and V:Z → Z by the rules W(a) = a² and V (a) = a mod 5 for all integers %3D a. Find the following: (W • V)(6) ii. (V • W)(9) i. iii. Is (W • V) = (V •W) for all integers a E Z? Justify your answer. -1-

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Question
d)
Draw an arrow diagram of the inverse for the bijection function found in (c).
Define W:Z → Z and V: Z → Z by the rules W(a) = a? and V (a) = a mod 5 for all integers
a. Find the following:
e)
(W • V)(6)
(V • W)(9)
iii.
i.
ii.
Is (W • V) = (V •W) for all integers a e Z? Justify your answer.
-1-
Transcribed Image Text:d) Draw an arrow diagram of the inverse for the bijection function found in (c). Define W:Z → Z and V: Z → Z by the rules W(a) = a? and V (a) = a mod 5 for all integers a. Find the following: e) (W • V)(6) (V • W)(9) iii. i. ii. Is (W • V) = (V •W) for all integers a e Z? Justify your answer. -1-
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