Ononot — If the standard matrix of a transformation T: \mathbb{R}^2 \

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Vectors & Spaceseasy

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If the standard matrix of a transformation $T: \mathbb{R}^2 \to \mathbb{R}^2$ maps $\mathbf{e}_1 \mapsto \langle 3, 1 \rangle$ and $\mathbf{e}_2 \mapsto \langle -1, 2 \rangle$ , what vector does $T(\langle 2, 3 \rangle)$ produce?