JEE-Mains 2015 (4/30)

Algebra Level 4

A=[122212a2b]A=\left[ \begin{matrix} 1 & 2 & 2 \\ 2 & 1 & -2 \\ a & 2 & b \end{matrix} \right] If AA is a matrix satisfying the equation AAT=9IAA^T=9I, where II is 3×33 \times 3 identity matrix, then the ordered pair (a,b)(a,b) is equal to :

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