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2. The relations below are defined on the set {0,1,2,3}. Determine which of these relations are reflexive, symmetric, asymmetric, antisymmetric, transitive, and irreflexive. a) R1 = {(0,0), (0,1), (0,3), (1,1), (1,0), (2,3), (3,3)} b) R2 = {(2,3), (3,2)} c) R3 = {(0,1), (0,2)}

2. The relations below are defined on the set {0,1,2,3}. Determine which of these relations are reflexive, symmetric, asymmetric, antisymmetric, transitive, and irreflexive. a) R1 = {(0,0), (0,1), (0,3), (1,1), (1,0), (2,3), (3,3)} b) R2 = {(2,3), (3,2)} c) R3 = {(0,1), (0,2)}

Advanced Engineering Mathematics
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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2. The relations below are defined on the set {0,1,2,3}. Determine which of these relations are reflexive, symmetric, asymmetric, antisymmetric, transitive, and irreflexive. a) R1 = {(0,0), (0,1), (0,3), (1,1), (1,0), (2,3), (3,3)} b) R2 = {(2,3), (3,2)} c) R3 = {(0,1), (0,2)}
Transcribed Image Text:2. The relations below are defined on the set {0,1,2,3}. Determine which of these relations are reflexive, symmetric, asymmetric, antisymmetric, transitive, and irreflexive. a) R1 = {(0,0), (0,1), (0,3), (1,1), (1,0), (2,3), (3,3)} b) R2 = {(2,3), (3,2)} c) R3 = {(0,1), (0,2)}
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