Ononot — A transformation T: \mathbb{R}^2 \to \mathbb{R}^2 scales the

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Determinantshard

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A transformation $T: \mathbb{R}^2 \to \mathbb{R}^2$ scales the area of any region by a factor of $k$ . If the transformation is given by the matrix $M = \begin{pmatrix} 3 & 1 \\ 2 & 4 \end{pmatrix}$ , what is $k$ ?