\( \definecolor{colordef}{RGB}{249,49,84} \definecolor{colorprop}{RGB}{18,102,241} \)
Find the matrix representing an enlargement (homothety) centered at the origin with a scale factor of 2.
$$ \mathbf{H} = \begin{pmatrix}\input{145097}{}{3em}{2em}{}{} & \input{245097}{}{3em}{2em}{}{}\\ \input{345097}{}{3em}{2em}{}{} & \input{445097}{}{3em}{2em}{}{}\\ \end{pmatrix}$$