Reflexive Relation

Reflexive Relation

Reflexive Relation
Definition
Properties
Examples
A relation R on a set A is said to be reflexive if every element of A is related to itself
Transitive: If (a,b) ∈ R & (b,c) ∈ R, then (a,c) ∈ R
Symmetric: If (a,b) ∈ R, then (b,a) ∈ R
Antisymmetric: If (a,b) ∈ R & (b,a) ∈ R, then a = b
Set A = {1, 2, 3} and Relation R = {(1,1), (2,2), (3,3)}