Define L: Z → Z and M: Z → Z by the rules L(a) = a² and M(a) = a mod 5 for each integer a. (a) Find the following. (L • M)(16) = %3D (M • L)(16) = (L • M)(13) = (M• L)(13) = (b) Is L•M = M• L? o Yes No
Define L: Z → Z and M: Z → Z by the rules L(a) = a² and M(a) = a mod 5 for each integer a. (a) Find the following. (L • M)(16) = %3D (M • L)(16) = (L • M)(13) = (M• L)(13) = (b) Is L•M = M• L? o Yes No
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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Transcribed Image Text:Define L: Z -→ Z and M: Z → Z by the rules
L(a) = a and M(a) = a mod 5 for each integer a.
(a) Find the following.
(Lo M)(16) =
(M• L)(16)
(L • M)(13)
(M• L)(13)
(b) Is Lo M = M• L?
o Yes
No
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