Ononot — A linear operator T: \mathbb{R}^2 \to \mathbb{R}^2 is repres

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Vectors & Spacesmedium

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A linear operator $T: \mathbb{R}^2 \to \mathbb{R}^2$ is represented by the matrix $A = \begin{pmatrix} 2 & 0 \\ 0 & 3 \end{pmatrix}$ . How does this transformation affect the area of a region with initial area $S$ ?