Relation which is reflexive, symmetric and transitive is called the equivalence relation.i.e. a relation R in a set A is called equivalence if it follows:
i)(a,a)∈R ∀a∈A
ii)(a,b)∈R ⇒(b,a)∈R
iii)(a,b)∈R, (b,c)∈R ⇒(a,c)∈R
Relation which is reflexive, symmetric and transitive is called the equivalence relation.i.e. a relation R in a set A is called equivalence if it follows:
i)(a,a)∈R ∀a∈A
ii)(a,b)∈R ⇒(b,a)∈R
iii)(a,b)∈R, (b,c)∈R ⇒(a,c)∈R