Let `A=[(1,2,2),(2,1,2),(2,2,1)]`. Then

Options

A. `A^(2)-4A-5I_(3)=O`
B. `A^(-1)=1/5 (A-4I_(3))`
C. `A^(3)` is not invertible
D. `A^(2)` is invertible

Explanation

To solve the problem, we need to analyze the given matrix \( A \) and verify the options provided. The matrix \( A \) is given as:

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