Properties of Symmetric Relation
- Empty relation on any set is always symmetric.
- Universal relations are always symmetric.
- If the relation is reflexive/irreflexive then it need not be symmetric.
Symmetric Relation on a Set
A relation is a subset of the cartesian product of a set with another set. A relation contains ordered pairs of elements of the set it is defined on. To learn more about relations refer to the article on “Relation and their types“.