nitraiddQ

2020-12-05

Let R be the relation on the set {0, 1, 2, 3} containing the ordered pairs
(0, 1),(1, 1),(1, 2),(2, 0),(2, 2),(3, 0). Find reflexive, symmetric and transitive closure of R.

StrycharzT

Skilled2020-12-06Added 102 answers

Reflexive closure: {(0,0),(0,1),(1,1),(1,2),(2,9),(2, 2),(3,9), (8,3)}

Symmetric closure: {(0,1),(0,2),(0,3),(1,0),(1,1),(1,2),(2,0),(2,1),(2,2),(3,0),(3,3)}

Transitive closure: {(0,0),(0,1),(0,2),(1,0),(1,1),(1,2),(2,0),(2, 1),(2,2),(3,0),(3,1),(3,2)}

Symmetric closure: {(0,1),(0,2),(0,3),(1,0),(1,1),(1,2),(2,0),(2,1),(2,2),(3,0),(3,3)}

Transitive closure: {(0,0),(0,1),(0,2),(1,0),(1,1),(1,2),(2,0),(2, 1),(2,2),(3,0),(3,1),(3,2)}

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