We first write the elements of the set $R$.

i.e. $R=\left\{\right(1,4),(4,1),(2,3),(3,2\left)\right\}$

Since, $(1,1)\notin R\Rightarrow R$ is not reflexive. 

Now as,$(1,4)\in R\Rightarrow (4,1)\in R$ and $(2,3)\in R$

$\Rightarrow (3,2)\in R$

So, $R$ is symmetric 

Now, $(1,4)\in R$ and $(4,1)\in R$

Thus, $R$ is not transitive.

Hence, $R$ is symmetric but neither reflexive nor transitive.