Provide an Appropriate Response $A$ And $B$ Are Two Matrices Such That $A + B , A - B$

question 35

Multiple Choice

Provide an appropriate response.
-Suppose that $A$ and $B$ are two matrices such that $A + B , A - B$ , and $A B$ all exist. What can you conclude about the dimensions of $\mathrm { A }$ and $\mathrm { B }$ ?

• A) \(A\) and \(B\) have the same dimension but are not necessarily square matrices.
• B) There are no dimensions of \(A\) and \(B\) that would make this possible.
• C) \(A\) is a row matrix, and \(B\) is a column matrix.
• D) \(A\) and \(B\) are square matrices of the same dimension.

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