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Question

Let \(A = \begin{bmatrix} 1 & 2 & 3 & 4 & 5 \\ 0 & -1 & 2 & 3 & 4 \\ 0 & 0 & 1 & 2 & 3 \\ 0 & 0 & 0 & -1 & 2 \\ 1 & 2 & 3 & 4 & 6 \end{bmatrix}\)?

What is \(\det(A)\)?