Identify the set and the relation being tested
Check whether each element is related to itself
Verify that for every element (a) in the set, ((a,a)) is in the relation
If all elements satisfy ((a,a)), the relation is reflexive
If any element does not satisfy ((a,a)), the relation is not reflexive
For a set (A), confirm that ((a,a)in R) for all (ain A)
For a matrix representation, check that all diagonal entries are 1
For a directed graph, check that every vertex has a self-loop