Answer
The statement makes sense.
Work Step by Step
Two matrices can be added only if they have the same numbers of rows and columns.
If they are of different orders, there would be a minimum of one extra row or column in one of the matrices; there would be no element in the other matrix to be added to the elements of that extra row or column.
Consider the two matrices of order $2\times 2$ $A=\left( \begin{matrix}
a & b \\
c & d \\
\end{matrix} \right)$ and $B=\left( \begin{matrix}
e & f \\
g & h \\
\end{matrix} \right)$.
The addition operation on the matrices is performed as follows:
$\begin{align}
& A+B=\left( \begin{matrix}
a & b \\
c & d \\
\end{matrix} \right)+\left( \begin{matrix}
e & f \\
g & h \\
\end{matrix} \right) \\
& =\left( \begin{matrix}
a+e & b+f \\
c+g & d+h \\
\end{matrix} \right)
\end{align}$
Therefore, the statement makes sense.
