efine the following relations on A$=\{0,1,2,3\}.$ Answer each of the following questions by listing the index of the relation. For example, for Part $1),$ if R$1$ and R$2$ are reflexive, simply enter $1,2$ as the answer.R$0=\{(0,0),(3,3),(2,2),(1,1)\}$R$1=\{(1,1),(0,0),(3,2),(2,2),(3,3)\}$R$2=\{(2,1),(1,1),(3,3),(1,2),(0,0),(2,0),(2,2)\}$R$3=\{(3,1),(2,1),(3,2),(2,2),(1,1),(0,0),(3,3)\}$R$4=\{(0,0),(2,2),(0,3),(0,2),(1,1),(2,0),(3,3),(3,0),(3,2)\}1)$ Which relations are reflexive? $2)$ Which relations are symmetric? $3)$ Which relations are anti$-$symmetric? $4)$ Which relations are transitive? $5)$ Which relations are equivalence relations? $6)$ Which relations are partial orders?