\( \definecolor{colordef}{RGB}{249,49,84} \definecolor{colorprop}{RGB}{18,102,241} \)
Find \(\lambda \in \mathbb{R}\) such that \(\lambda \begin{pmatrix} 2 & 1 \\ 4 & 0 \end{pmatrix} + \begin{pmatrix} -3 & -1 \\ -6 & 0 \end{pmatrix} = 0_{2, 2}\).
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