Question: Find the eigenvalues, eigenvectors, AM, and GM of each eigenvalue and decide whether the matrix is defective or not. Then, transform the matrix into either

Find the eigenvalues, eigenvectors, AM, and GM of each eigenvalue and decide whether the matrix is defective or not. Then, transform the matrix into either a diagonal or a Jordan matrix, whichever is applicable.

\(\mathbf{A}=\left[\begin{array}{lll}2 & 2 & 1 \\ 0 & 1 & 0 \\ 0 & 0 & 1\end{array}\right]\)

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