Provide an Appropriate Response $\mathrm { A }$ Is An $\mathrm { m } \times \mathrm { n }$

Multiple Choice

Provide an appropriate response.
-Suppose that $\mathrm { A }$ is an $\mathrm { m } \times \mathrm { n }$ matrix and $\mathrm { B }$ is a $\mathrm { p } \times \mathrm { q }$ matrix. Under what conditions will the sum $\mathrm { A } + \mathrm { B }$ exist?

A) If $n = p$
B) If $m = p$ and $n = q$
C) It is not possible for the sum to exist.
D) The sum will always exist.