If order of matrix A is 2 × 3 and that of matrix B is 3 × 2, then which of the following matrices is a square matrix of order 3 :

1. A × B

2. B × A

3. B × B

4. A × A

We know that,

In resultant matrix the no. of rows is equal to the no. of rows in first matrix and no. of columns is equal to the no. of columns in second matrix.

In matrix multiplication :

B_{3 × 2} × A_{2 × 3}

The resultant matrix will be of order 3 × 3.

Hence, Option 2 is the correct option.