Problem 4. Consider the relation R= {(1,3), (3 3, 4}. a) Find the matrix representing R. b) Draw the directed graph representing R. c) Is R reflexive? Explain. d) Is R symmetric? Is it antisymmetric? Explai:

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter6: Matrices And Determinants
Section: Chapter Questions
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Problem 4. Consider the relation R= {(1,3), (3,1), (2, 3), (3, 3), (3, 4), (4, 4), (4, 1)} on set {1, 2,
3, 4}.
a) Find the matrix representing R.
b) Draw the directed graph representing R.
c) Is R reflexive? Explain.
d) Is R symmetric? Is it antisymmetric? Explain.
e) Is R transitive? Explain.
Transcribed Image Text:Problem 4. Consider the relation R= {(1,3), (3,1), (2, 3), (3, 3), (3, 4), (4, 4), (4, 1)} on set {1, 2, 3, 4}. a) Find the matrix representing R. b) Draw the directed graph representing R. c) Is R reflexive? Explain. d) Is R symmetric? Is it antisymmetric? Explain. e) Is R transitive? Explain.
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