Given \(A = \left[ {\begin{array}{*{20}{c}} 1&2&2\\ 2&1&{ - 2}\\ a&2&b \end{array}} \right]\) \(B = \left[ {\begin{array}{*{20}{c}} 6&0&4\\ 0&6&{ 8}\\ 4&8&6 \end{array}} \right]\)

And AAT - B = 3I

I is a 3 × 3 identity matrix.

(a, b) can be:

1
(2, -1)
2
(-2, 1)
3
(-2, -1)
4
None of these

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