GO Classes Set Theory And Algebra Practice Set 1 | Question: 1
Let $A=\{0,1,2,3\}$ and $R$ a relation over $A$ : $ R=\{(0,0),(0,1),(0,3),(1,1),(1,0),(2,3),(3,3)\} $ Draw the directed graph of $R$. Check whether $R$ is an equivalence relation. Give a counterexample in each case in which the relation does not satisfy one of the properties of being an equivalence relation.
Let $A=\{0,1,2,3\}$ and $R$ a relation over $A$ :$$R=\{(0,0),(0,1),(0,3),(1,1),(1,0),(2,3),(3,3)\}$$Draw the directed graph of $R$. Check whether $R$ is an equivalence re...