\( \definecolor{colordef}{RGB}{249,49,84} \definecolor{colorprop}{RGB}{18,102,241} \)
Determine if \(A = \begin{pmatrix} 2 & -1 & 0 \\ 0 & 3 & 1 \\ 0 & 0 & -1 \end{pmatrix}\) is invertible. If so, compute \(A^{-1}\).
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