Let R be the relation on A × A, where A = {1,2,3,4}, that is, ele- ments of this relation are pairs of pairs of integers from A, such that ((a, b), (c, d)) ∈ R if and only if ad = bc. Is R an equivalence relation? If yes, find its equivalence classes
Let R be the relation on A × A, where A = {1,2,3,4}, that is, ele- ments of this relation are pairs of pairs of integers from A, such that ((a, b), (c, d)) ∈ R if and only if ad = bc. Is R an equivalence relation? If yes, find its equivalence classes
Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter1: Fundamentals
Section1.7: Relations
Problem 11E: Let be a relation defined on the set of all integers by if and only if sum of and is odd. Decide...
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Let R be the relation on A × A, where A = {1,2,3,4}, that is, ele- ments of this relation are pairs of pairs of integers from A, such that ((a, b), (c, d)) ∈ R if and only if ad = bc. Is R an equivalence relation? If yes, find its equivalence classes
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