Answer
$a.\quad B+C =\left[\begin{array}{lll}
5 & -2 & 5\\
1 & 1 & 0
\end{array}\right]$
$b.\quad B+F$ is not defined as B and F do not have equal dimensions.
Work Step by Step
(a)
$B+C$ is defined, since both matrices are 2$\times$3.
$B+C =\left[\begin{array}{lll}
3+2 & \frac{1}{2}-\frac{5}{2} & 5+0\\
1+0 & -1+2 & 3-
\end{array}\right]=\left[\begin{array}{lll}
5 & -2 & 5\\
1 & 1 & 0
\end{array}\right]$
(b)
$B+F$ is not defined as B and F do not have equal dimensions.
