If $A=\begin{bmatrix}1 & 2 & 2 \\ 2 & 1 & -2 \\a & 2 & b \end{bmatrix}$ is a matrix satisfying the equation $Aa^T= 9I$ Where $I$ is $3 \times 3 $ identify matrix, then the ordered pair $(a,b)$ is equal to :

Question

$\begin{array}{1 1} (2,1) \\ (2,1) \\ (-2,-1) \\ (2,-1) \end{array} $