Ch $09$ Sec $4$ Ex $12-$ Matrix Representing the Reflexive Closure

Check All That Apply

$M_{R}vv{I}_n$ is by definition the same as $M_R$ except that it has all $1$ s on the main diagonal.

$M_{R}vv{I}_n$ is by definition the same as $M_R$ except that it has all $0$ s on the main diagonal.

So$,$ the relation corresponding to it is the same as $R$ except for the addition of all the pairs $(x,x)$ that were not already present.

So$,$ the relation corresponding to it is the same as $R$ except for the removal of all the pairs $(x,x)$ that were already present.

Therefore, $M_{R}vv{I}_n$ is the matrix that represents the reflexive closure of $R.$