Provide an appropriate response.
-Suppose that A and B are two matrices such th $A + B , A - B$ 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 are square matrices of the same dimension.
C) A and B have the same dimension but are not necessarily square matrices.
D) There are no dimensions of A and B that would make this possible.

Question

Quizplus · Accepted Answer

A and B must have the same number of rows and columns for the given operations to be valid. Therefore, they have the same dimension. Since AB exists, A must have the same number of columns as B has rows. This means that A and B are square matrices of the same dimension.

Provide an Appropriate Response A+B,A−BA + B , A - BA+B,A−B

Provide an Appropriate Response $A + B , A - B$