To determine whether the product of Matrix A and Matrix B, denoted as AB, is defined, we need to consider the rules for matrix multiplication.
Matrix A has dimensions 4 x 3, meaning it has 4 rows and 3 columns.
Matrix B has dimensions 3 x 2, meaning it has 3 rows and 2 columns.
For matrix multiplication to be defined, the number of columns in the first matrix (Matrix A in this case) must be equal to the number of rows in the second matrix (Matrix B in this case).
In this problem:
- Matrix A has 3 columns.
- Matrix B has 3 rows.
Since the number of columns in Matrix A equals the number of rows in Matrix B (both are 3), the multiplication of these two matrices (AB) is defined.
Therefore, the statement "Matrix AB is undefined" is False.
