Let R be the relation on A × A , where A= {1,2,3,4} that is elements of this relation are pairs of pairs of integers from A , such that ((a,b),(c,d)) ∈ R if and only of ad=bc . Is R an equiavalence realtion ? . If yes , find its equivalence classes .
Let R be the relation on A × A , where A= {1,2,3,4} that is elements of this relation are pairs of pairs of integers from A , such that ((a,b),(c,d)) ∈ R if and only of ad=bc . Is R an equiavalence realtion ? . 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...
Related questions
Question
Let R be the relation on A × A , where A= {1,2,3,4} that is elements of this relation are pairs of pairs of integers from A , such that ((a,b),(c,d)) ∈ R if and only of ad=bc . Is R an equiavalence realtion ? . If yes , find its equivalence classes .
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 2 steps with 2 images
Recommended textbooks for you
Elements Of Modern Algebra
Algebra
ISBN:
9781285463230
Author:
Gilbert, Linda, Jimmie
Publisher:
Cengage Learning,
Elements Of Modern Algebra
Algebra
ISBN:
9781285463230
Author:
Gilbert, Linda, Jimmie
Publisher:
Cengage Learning,