일차변환 성질

일차변환 $f$를 나타내는 행렬이 $\displaystyle \left( \begin{array}{ll} {\begin{matrix} 1 & 3 \\ 2 & 4 \end{matrix}} \end{array} \right)$일 때, 두 행렬 $\displaystyle A = \left( \begin{array}{l} \begin{matrix} - 2 \\ 3 \end{matrix} \end{array} \right)$, $\displaystyle B = \left( \begin{array}{l} \begin{matrix} 2 \\ - 1 \end{matrix} \end{array} \right)$에 대하여 $f \left( A \right) + 2 f \left( B \right)$는? [3점] ①$\displaystyle \left( \begin{array}{l} \begin{matrix} 2 \\ 5 \end{matrix} \end{array} \right)$②$\displaystyle \left( \begin{array}{l} \begin{matrix} 3 \\ 6 \end{matrix} \end{array} \right)$③$\displaystyle \left( \begin{array}{l} \begin{matrix} 4 \\ 7 \end{matrix} \end{array} \right)$④$\displaystyle \left( \begin{array}{l} \begin{matrix} 5 \\ 8 \end{matrix} \end{array} \right)$⑤$\displaystyle \left( \begin{array}{l} \begin{matrix} 6 \\ 9 \end{matrix} \end{array} \right)$