Determine whether the following relation on $M=\{p,q,r,s\}$ is equivalent. Your solution must clarify which types are satisfied and which do not.

$R_M=\left[\begin{array}{cccc}1& 0& 0& 0\\ 0& 1& 0& 1\\ 0& 0& 1& 1\\ 0& 1& 1& 1\end{array}\right]$