Let A = {0, 1, 2, 3} and R be a relation on A defined as

We have,

$R=\{(0,0),(0,1),(0,3),(1,0),(1,1),(2,2),(3,0),(3,3)\}$

As, $(a, a) \in R \forall a \in A$

So, $R$ is a reflexive relation

Also, $(a, b) \in R$ and $(b, a) \in R$

So, $R$ is a symmetric relation as well

And, $(0,1) \in R$ but $(1,2) \notin R$ and $(2,3) \notin R$

So, $R$ is not a transitive relation