QUESTION 3 Let A = (1,2,3,4), and R= { (1,1), (2,2).(3,3). (1,3) (3,1) (2,3) (3,2). (1,2),(2,1)}. Is R reflexive? is R symmetric? Is R transitive? Is R an equivalence relation?

Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter4: More On Groups
Section4.1: Finite Permutation Groups
Problem 33E: Exercises 33. Prove Theorem : Let be a permutation on with . The relation defined on by if and...
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QUESTION 3
Let A = {1,2,3,4), and R= { (1,1), (2,2),(3,3), (1,3) (3, 1) (2,3) (3,2),(1,2),(2,1)}.
Is R reflexive?
is R symmetric?
Is R transitive?
Is R an equivalence relation?
Transcribed Image Text:QUESTION 3 Let A = {1,2,3,4), and R= { (1,1), (2,2),(3,3), (1,3) (3, 1) (2,3) (3,2),(1,2),(2,1)}. Is R reflexive? is R symmetric? Is R transitive? Is R an equivalence relation?
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