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If `A=[1 2 2 2 1-2a2b]` is a matrix satisfying the equation `AA^T=""9I` , where `I` is `3xx3` identity matrix, then the ordered pair (a, b) is equal to : (1) `(2,-1)` (2) `(-2,""1)` (3) (2, 1) (4) `(-2,-1)`
A. `(2,-1)`
B. `(-2,1)`
C. `(2,1)`
D. `(-2,-1)`

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