For a system of simultaneous linear equations, if $A X=\left[\begin{array}{l}1 \\ 1 \\ 2\end{array}\right], \operatorname{Adj} A=\left[\begin{array}{ccc}1 & -1 & -1 \\ 1 & 1 & -1 \\ 1 & 1 & 1\end{array}\right]$ and $\operatorname{det} A>0$, then $X=$
- A
$\left[\begin{array}{c}-1 \\ 0 \\ 2\end{array}\right]$
- B
$\left[\begin{array}{l}1 \\ 1 \\ 2\end{array}\right]$
- C
$\left[\begin{array}{c}0 \\ -1 \\ -1\end{array}\right]$
- D
$\left[\begin{array}{l}2 \\ 1 \\ 1\end{array}\right]$
✓ Correct answer: A
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