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If \(A=\begin{bmatrix} 1 & 2 &2 \\ 2& 1 &-2 \\ a&2 &b \end{bmatrix}\) is a matrix such that AAT = 9I3, then what are the values of a and b?
1
a = 2 and b = -1
2
a = 2 and b = 1
3
a = -2 and b = -1
4
a = -2 and b = 1