Given-A-a-3×3-matrix-satisfy-A-1-2-3-3-4-2-A-5-9-7-3-1-2-Find-A-10-18-14-

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

Given A a 3 \times 3 matrix satisfy

\to {\begin{cases} A (\begin{array}{c} 1 \\ 2 \\ 3 \end{array}) = (\begin{array}{c} 3 \\ 4 \\ 2 \end{array}) \\ A (\begin{array}{c} 5 \\ 9 \\ 7 \end{array}) = (\begin{array}{c} 3 \\ 1 \\ 2 \end{array}) \end{cases}

. Find A (\begin{matrix} 10 \\ 18 \\ 14 \end{matrix}) ?

Commented by liberty last updated on 09/Nov/20

\Leftrightarrow A (\begin{matrix} 10 \\ 18 \\ 14 \end{matrix}) = 2 A (\begin{matrix} 5 \\ 9 \\ 7 \end{matrix}) = 2 (\begin{matrix} 3 \\ 1 \\ 2 \end{matrix}) = (\begin{matrix} 6 \\ 2 \\ 4 \end{matrix})

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