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?
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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