(All Steps) a. Find the characteristic polynomial, eigenvalues, and eigenvectors of the matrix
Question: a. Find the characteristic polynomial, eigenvalues, and eigenvectors of the matrix
\[A=\left[\begin{array}{lll} 5 & 4 & 2 \\ 4 & 5 & 2 \\ 2 & 2 & 2 \end{array}\right]\]b. Use the eigenvectors of the matrix \(A\) to form a matrix \(P\). Calculate \(P^{-1} A P\) using Maple.
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