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...


Problem 4. Consider the relation R= {(1,3), (3,1), (2, 3), (3, 3), (3, 4), (4, 4), (4, 1)} on set {1, 2,<br>3, 4}.<br>a) Find the matrix representing R.<br>b) Draw the directed graph representing R.<br>c) Is R reflexive? Explain.<br>d) Is R symmetric? Is it antisymmetric? Explain.<br>e) Is R transitive? Explain.<br>

Extracted 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.

Jun 05, 2022
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