Among all students in a classroom we have a binary relations $\mathcal {R,S}$.
Student A is in relation with student B, formally (A,B) $\in$ $\mathcal R$, iff -
"A sits in the same row as B and B is not to the left of A"
Student A is in relation with student B, formally (A,B) $\in$ $\mathcal S$, iff -
"B sits in the second row (regardless of A)"
Not all seats have to be occupied.
I have to decide whether the composition of these relations, $\mathcal S \circ \mathcal R$, is reflexive, symmetric, antisymmetric or transitive. I only need help with the composition of these relations. What will the final relation look like? How to solve composition of relations like this (howto would be appreciated). Thanks