The matrix given: 3 -1 0 A = -1 2 -1 has eigenvectors 0 -1 3 a. Find matrix P that diagonalizes A. b. Find the "other" matrix needed in the processes to diagonalize A. (Technology allowed -- but it must be thoroughly documented) c. Explain how you could find the eigenvalues of A using the given matrix A and your answers for parts a and b. DO NOT find the eigenvalues.

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