The matrix representing the relation $R=\{(1,2),(1,3)(1,4),(2,1),(2,3),(2,4),(3,1),(3,2),(3,4),(4,1),(4,2),(4,3)\}$ is $q,$ on the set $\{1,2,3,4\}$ with the elements listed in increasing order

a$.\left[\begin{array}{cccc}1& 0& 0& 1\\ 0& 1& 0& 0\\ 0& 0& 1& 0\\ 1& 0& 0& 0\end{array}\right]$

b$.\left[\begin{array}{cccc}0& 1& 1& 1\\ 1& 0& 1& 1\\ 0& 1& 0& 1\\ 0& 0& 0& 0\end{array}\right]$

c$.\left[\begin{array}{cccc}0& 1& 1& 1\\ 0& 0& 1& 1\\ 0& 0& 0& 1\\ 0& 0& 0& 0\end{array}\right]$

d$.\left[\begin{array}{cccc}0& 1& 1& 1\\ 1& 0& 1& 1\\ 1& 1& 0& 1\\ 1& 1& 1& 0\end{array}\right]$