Give an example of a relation on the set A = {1, 2, 3, 4, 5} that is a) both symmetric and antisymmetric. b) neither symmetric or antisymmetric. c) anitisymmetric but not symmetric
Give an example of a relation on the set A = {1, 2, 3, 4, 5} that is a) both symmetric and antisymmetric. b) neither symmetric or antisymmetric. c) anitisymmetric but not symmetric
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:Give an example of a relation on the set A = {1, 2, 3, 4, 5} that is
a) both symmetric and antisymmetric.
b) neither symmetric or antisymmetric.
c) anitisymmetric but not symmetric
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Step 1: Introduction of the symmetric and antisymmetric relations
VIEWStep 2: Determine the relation on the set A which is both symmetric and symmetric
VIEWStep 3: Determine the relation neither symmetric nor antisymmetric
VIEWStep 4: Determine the relation antisymmetric but not symmetric
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