Let R be a relation on the set {a,b, c, d} R = {(a, b), (a, c), (b, a), (d, b)} Find: 1) The reflexive closure of R 2) The symmetric closure of R 3) The transitive closure of R Express each answer as a matrix, directed graph, or using the roster method (as above). Don't express your answer in terms of set operations.

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 a relation on the set {a,b, c, d}
R = {(a, b), (a, c), (b, a), (d, b)}
Find:
1) The reflexive closure of R
2) The symmetric closure of R
3) The transitive closure of R
Express each answer as a matrix, directed graph, or using the roster method (as above).
Don't express your answer in terms of set operations.
Transcribed Image Text:Let R be a relation on the set {a,b, c, d} R = {(a, b), (a, c), (b, a), (d, b)} Find: 1) The reflexive closure of R 2) The symmetric closure of R 3) The transitive closure of R Express each answer as a matrix, directed graph, or using the roster method (as above). Don't express your answer in terms of set operations.
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