13. Let A be the set A = {a, b, c, d}. Consider the relation R on A given by R = {(a, a), (b, b), (c, c), (d, d)} (a) Draw the directed graph representing R. (b) Is R reflexive? Justify your answer. (c) Is R symmetric? Justify your answer.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Is R considered symmetric?
13. Let A be the set A = {a, b,c, d}. Consider the relation R on A given by
R = {(a, a), (b, b), (c, c), (d, d)}
(a) Draw the directed graph representing R.
(b) Is R reflexive? Justify your answer.
(c) Is R symmetric? Justify your answer.
(d) Is R transitive? Justify your answer.
(e) If R antisymmetric? Justify your answer.
Transcribed Image Text:13. Let A be the set A = {a, b,c, d}. Consider the relation R on A given by R = {(a, a), (b, b), (c, c), (d, d)} (a) Draw the directed graph representing R. (b) Is R reflexive? Justify your answer. (c) Is R symmetric? Justify your answer. (d) Is R transitive? Justify your answer. (e) If R antisymmetric? Justify your answer.
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