MatrixXXX

$(m \times n) \times (m_A \times n_A) = (m_B \times n_B) \\\\ (m \times n) \times (n \times p) = (m \times p) \\\\ (\boxed{\boxed{m}} \times \boxed{n}) \times (\boxed{2} \times 3) = (\boxed{\boxed{2}} \times 3)$

Isto é, $\boxed{m = 2}$ e $\boxed{n = 2}$ .

The matrix X is an n row by m column matrix. The order of a matrix is these two numbers n and m. Only matrices with the same number of columns in the first as the number of rows in the second can be multiplied. Therefore, there must be two columns in X.

The resulting product has the same number of rows as the first and the same number of columns as the second. Thus X has two rows.

X is a 2x2 matrix.