Provide an appropriate response.
-Suppose that $A$ is an $m \times n$ matrix and $B$ is a $\mathrm { p } \times \mathrm { q }$ matrix. Under what conditions will the sum $\mathrm { A } +$ B exist?
A) If $n = p$
B) If $\mathrm { m } = \mathrm { p }$ and $\mathrm { n } = \mathrm { q }$
C) It is not possible for the sum to exist.
D) The sum will always exist.

Question

Quizplus · Accepted Answer

The sum $A + B$ exists if and only if the matrices $A$ and $B$ have the same dimensions, meaning $m = p$ and $n = q$.

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