\( \definecolor{colordef}{RGB}{249,49,84} \definecolor{colorprop}{RGB}{18,102,241} \)
For \( \mathbf{A}=\begin{pmatrix} \frac{1}{2} & 4 \\ 0 & -1 \end{pmatrix}\) and \(\mathbf{B}=\begin{pmatrix} 1 & -\frac{3}{2} \\ 2 & 0 \end{pmatrix}\), find \(2\mathbf{A}+3\mathbf{B}\).
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