\( \definecolor{colordef}{RGB}{249,49,84} \definecolor{colorprop}{RGB}{18,102,241} \)
For what values of \(t \in \mathbb{R}\) is \(A(t) = \begin{pmatrix} t & 2 \\ 3 & t + 1 \end{pmatrix}\) invertible? Compute \(A(t)^{-1}\) for those values.
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