Answer
\[
MN=
\left[ {\begin{array}{cc}
EA+0C & BE+OD\\
OA+FC&OB+FD
\end{array} } \right]
\]
Work Step by Step
The product of \[
M=
\left[ {\begin{array}{cc}
E& O \\
O&F
\end{array} } \right]
\]
and
\[
N=
\left[ {\begin{array}{cc}
A&B\\
C&D
\end{array} } \right]
\]
is
\[
MN=
\left[ {\begin{array}{cc}
EA+0C & BE+OD\\
OA+FC&OB+FD
\end{array} } \right]
\]