if `A=[(1,2,2),(2,1,-2),(a,2,b)]` is a matrix satisfying `A A'=9I_(3,)` find the value of `|a|+|b|.`

Explanation

To solve the problem, we start with the matrix \( A \) given as:

\[
A = \begin{pmatrix}
1 & 2 & 2 \\
2 & 1 & -2 \\
a & 2 & b
\end{pmatrix}
...