Determine whether R is reflexive, irreflexive, symmetric, asymmetric, antisymmetric, or transitive. If the relation fails to have a property, give an example showing why it fails. Let
A={1,2,3,4}
and R be a relation on the set A defined by:
R={(1,1),(2,2),(3,3),(1,2),(2,1),(1 ,4),(3,2),(3,1),(3,4),(4,2),(4,1)}