Consider the relation R = {(1,3),(1,4), (2,1), (2,2), (3,2), (3,4), (4,1)} on the set 1,2,3,4}. a Find the reflexive closure of R. b. Find the symmetric closure of R. с. Find the transitive closure of R.
Consider the relation R = {(1,3),(1,4), (2,1), (2,2), (3,2), (3,4), (4,1)} on the set 1,2,3,4}. a Find the reflexive closure of R. b. Find the symmetric closure of R. с. Find the transitive closure of R.
Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter1: Fundamentals
Section1.7: Relations
Problem 20E: Give an example of a relation R on a nonempty set A that is symmetric and transitive, but not...
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![Consider the relation R = {(1,3), (1,4), (2,1), (2,2), (3,2), (3,4), (4,1)} on the set
{1,2,3,4}.
Find the reflexive closure of R.
b.
Find the symmetric closure of R.
C.
Find the transitive closure of R.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ff2e99635-9351-4a90-90be-f1d1f0c280c7%2Fe0c7e6f4-8593-404e-bd49-9ca5525644f1%2Fb21ydt_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Consider the relation R = {(1,3), (1,4), (2,1), (2,2), (3,2), (3,4), (4,1)} on the set
{1,2,3,4}.
Find the reflexive closure of R.
b.
Find the symmetric closure of R.
C.
Find the transitive closure of R.
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