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Question Number 121523 by benjo_mathlover last updated on 09/Nov/20

$$\mathrm{Given}\mathrm{A}\mathrm{a}3\mathrm{x}3\mathrm{matrix}\mathrm{satisfy}$$$$\to \{\begin{array}{l}\mathrm{A}\left(\begin{array}{c}1\\ 2\\ 3\end{array}\right)=\left(\begin{array}{c}3\\ 4\\ 2\end{array}\right)\\ \mathrm{A}\left(\begin{array}{c}5\\ 9\\ 7\end{array}\right)=\left(\begin{array}{c}3\\ 1\\ 2\end{array}\right)\end{array}$$$$.\mathrm{Find}\mathrm{A}\left(\begin{array}{c}10\\ 18\\ 14\end{array}\right)?$$

Commented by liberty last updated on 09/Nov/20

$$\iff \mathrm{A}\left(\begin{array}{c}10\\ 18\\ 14\end{array}\right)=2\mathrm{A}\left(\begin{array}{c}5\\ 9\\ 7\end{array}\right)=2\left(\begin{array}{c}3\\ 1\\ 2\end{array}\right)=\left(\begin{array}{c}6\\ 2\\ 4\end{array}\right)$$

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