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Question

Let \(A = \begin{bmatrix} 0 & 1 & -1 \\ 1 & 3 &2 \\ 4 & 1 &-2\end{bmatrix}\). Let \(i = 2\) and \(j = 3\).

What is the value of \((-1)^{i+j}\det(A(i \mid j))\)?