Matrices And Determinants

Let \(A\) be a \(3 \times 3\) matrix of non-negative real elements such that $$A\left[\begin{array}{l}1 \\ 1 \\ 1\end{array}\right]=3\left[\begin{array}{l}1 \\ 1 \\ 1\end{array}\right]$$. Then the maximum value of \(\operatorname{det}(\mathrm{A})\) is _________.