  Dariush Kiani et al.\cite{kiani2015unitary} claim to have found the unitary
Cayley graph $Cay(M_{n}(F),GL_{n}(F))$ of matrix algebras over finite field $F$
is strongly regular only when $n=2$, but they have only considered two special
cases, namely when $n = 2$ and $3$ and have failed to cover the general cases.
In this paper, we prove that the unitary Cayley graph of matrix algebras over
finite field $F$ is strongly regular if and only if $n=2$.
