Textbook Problem

Each of the following is a relation on $\left\{0,1,2,3\right\}$ Draw directed graphs for each relation, and indicate which relations are antisymmetric.

1. $R_1=\left\{\left(0,0\right),\left(0,2\right),\left(1,0\right),\left(2,2\right)\left(3,0\right),\left(3,1\right)\right\}$

$R_2=\left\{\left(0,0\right),\left(0,2\right),\left(1,0\right),\left(2,2\right)\left(3,0\right),\left(3,1\right)\right\}$