Determine reflexive, symmetric, antisymmetric, transitive, partial order and equivalence.
Let R = {(1,1)(3,1)(2,2)(1,2)(3,3)(3,2)} on Z = {1,2,3}
Is R reflexive? Why?
Is R Symmetric? Why?
Is R antisymmetric? Why?
Is R transitive? Why?
Is R a partial order? Why?
Is R an equivalence relation?
Provide step by step calculations.