Question

Determine if the following statement is true or false: If ABAB and BABA are both defined, then AA and BB are square matrices. A) True B) False

Answer 1

The statement is false.

To determine if AA and BB are square matrices, we need to understand the definition of a square matrix. A square matrix is a matrix where the number of rows is equal to the number of columns.

In this case, we are given two matrices, ABAB and BABA. However, the statement does not provide any information about the dimensions of these matrices. Without knowing the number of rows and columns in ABAB and BABA, we cannot determine if AA and BB are square matrices.

Therefore, based on the information given, we cannot conclude that AA and BB are square matrices. Thus, the statement is false.