If \( A=\left[\begin{array}{ccc}1 & 2 & 2 \\ 2 & 1 & -2 \\ a & 2 & ...

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If \( A=\left[\begin{array}{ccc}1 & 2 & 2 \\ 2 & 1 & -2 \\ a & 2 & b\end{array}\right] \) is a matrix satisfying the equation \( A A^{\top}=9 I \), where \( I \) is \( 3 \times 3 \) identity matrix, then the
\( \mathrm{P} \) ordered pair \( (a, b) \) is equal to :

W
(1) \( (2,-1) \)
(2) \( (-2,1) \)
(3) \( (2,1) \)
(4) \( (-2,-1) \)
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