$\"\"$ Multiplication of two matrices is possible if the number of columns in the first matrix equals the number of rows in the second matrix.

Let A be the first matrix and B be the second matrix.

The dimensions of the first matrix A are $\"\"$ , so the number of the columns in the first matrix is 3.

The dimensions of the second matrix B are $\"\"$ , so the number of the rows in the second matrix B is 3. $\"\"$

The number of columns in the first matrix equals the number of rows in the second matrix. So, matrix product is possible and its dimensions are $\"\"$ .

Let P be the matrix product.

$\"\"$

The matrix P is

$\"\"$ $\"\"$ The element $\"\"$ of the matrix ( $\"\"$ ) is the sum of the products of the corresponding elements in the i ^th row of the first matrix ( $\"\"$ ) and column j ^th column of the second matrix ( $\"\"$ ).