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.

\(\mathbf{A}=\left[\begin{array}{ccc}4 & 1 & 0 \\ 0 & 4 & 1 \\ -1 & -1 & 3\end{array}\right]\)