計算機數學

(4分) Let set $A = \{1,2,3,4\}$. Define a relation $R$ on $A$ where $R = \{(1,1),(1,2),(2,2),(2,3),(1,3),(3,3),(4,4)\}$, which of the following properties does this relation have?

(1) Symmetric (2) Asymmetric (3) Antisymmetric (4) Reflexive (5) Irreflexive (6) Transitive