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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

Elements Of Modern Algebra
Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter2: The Integers
Section2.4: Prime Factors And Greatest Common Divisor
Problem 4E: Find the smallest integer in the given set. { and for some in } { and for some in }
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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
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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