Algebra

Provide an appropriate response.

Suppose that A and B are two matrices such that A + B, A - B, and AB all exist. What can you conclude about the dimensions of A and B?

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

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2. 👎 0
3. 👁 99
1. To be able to add or subtract two matrices, they must be of the same dimension m x n
To be able to multiply matrix A by matrix B and obtain AB, the number of columns of A must equal the number of rows of B

Of the given choices, which one would satisfy both of these conditions?

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2. 👎 0
posted by Reiny

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