\( \definecolor{colordef}{RGB}{249,49,84} \definecolor{colorprop}{RGB}{18,102,241} \)
Find the image of the point \(P(3, -2)\) under the transformation defined by the matrix \(\mathbf{A} = \begin{pmatrix} 2 & -1 \\ 1 & 4 \end{pmatrix}\).
\(P'(\)
\(,\)
\()\)