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Given that the matrix $A=\begin{bmatrix} 1 &2 &2 \\ 2 &1 &-2 \\ a& 2 &b \end{bmatrix}$  and $AAA^{T}=3I$ where $I$ is a $3\times3$ identity matrix$.$

Find $(a,b)$ can be$?$
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Please check My answer is coming as (2,3/4) Please let me know if I did anything incorrectly, or if ther's any other approach to this.

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