96. If A is an $n \times n$ non-negative matrix and

$$A = \begin{bmatrix}

A_{11} & A_{12} \\

A_{21} & A_{22}

\end{bmatrix},$$

where A₁₁ is an n₁ x n₁ matrix, show that |A| ≤ |A₁₁||A₂₂|.