$$ Let $M_R=([1,1,1,1],[0,1,1,1],[0,0,1,1],[0,0,0,1]).$

Determine if $R$ is: $($a$)$ reflexive,

$($b$)$ symmetric,

$($c$)$ antisymmetric,

$($d$)$ transitive.

See the matrix to represent the relation, determine if the relation is :

Please type $Y$ for yes and $N$ for no$..$

a

b$)$

c$)$

d$)$