Provide an Appropriate Response $A$ Is An $m \times n$ Matrix And $B$

question 324

Multiple Choice

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.

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