Chapter 9.3, Problem 14E

R₁andR₂be relations on a setArepresented by the matrices

$M_{R_1}=\left[\begin{array}{ccc}0& 1& 0\\ 1& 1& 1\\ 1& 0& 0\end{array}\right]\text{ and }{M}_{R_2}=\left[\begin{array}{ccc}0& 1& 0\\ 0& 1& 1\\ 1& 1& 1\end{array}\right]$

Find the matrices that represent

a) $R_1\cup R_2$.

b) $R_1\cap R_2$.

c) $R_2\circ R_1$.

d) $R_1\circ R_1$.

e) $R_1\oplus R_2$.