Matrix Multiplication Rules
For matrix multiplication to be possible, the number of columns in the first matrix must equal the number of rows in the second matrix.
Matrix A is a 3x3 matrix, which means it has 3 rows and 3 columns.
Matrix B is a 4x3 matrix, which means it has 4 rows and 3 columns.
To multiply AB, the number of columns in A must equal the number of rows in B.
Since A has 3 columns and B has 4 rows, AB cannot be calculated.
To multiply BA, the number of columns in B must equal the number of rows in A.
Since B has 3 columns and A has 3 rows, BA can be calculated.
So, the correct answer is:
B. only BA