For each of the following relation on the set {0,1,2,3} draw directed graphs for each relation and indicate which relations are antisymmetric a. R1 = {(0,0), (0,2), (1,0), (1,3), (2,2), (3,0), (3,1)} b. R2 = {(0,1), (0,2), (1,1), (1,2), (1,3), (2,2), (3,2)} c. R3 = {(0,0), (0,3), (1,0), (1,3), (2,2), (3,3), (3,2)}

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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For each of the following relation on the set {0,1,2,3} draw directed graphs for each relation and
indicate which relations are antisymmetric
a. R1 = {(0,0), (0,2), (1,0), (1,3), (2,2), (3,0), (3,1)}
b. R2 = {(0,1), (0,2), (1,1), (1,2), (1,3), (2,2), (3,2)}
c. R3 = {(0,0), (0,3), (1,0), (1,3), (2,2), (3,3), (3,2)}
Transcribed Image Text:For each of the following relation on the set {0,1,2,3} draw directed graphs for each relation and indicate which relations are antisymmetric a. R1 = {(0,0), (0,2), (1,0), (1,3), (2,2), (3,0), (3,1)} b. R2 = {(0,1), (0,2), (1,1), (1,2), (1,3), (2,2), (3,2)} c. R3 = {(0,0), (0,3), (1,0), (1,3), (2,2), (3,3), (3,2)}
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