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1. (similar to 5.2 Exercises 9-14) (a) Find the characteristic polynomial of the matrix A =   3 0 0 1 3 4 0 2 1  . (b) Find the eigenvalues of the matrix A given in part (a) and list their multiplicities. 2. (similar to 5.3 Exercises 7-20) Diagonalize the matrix A =   3 0 0 1 3 4 0 2 1  , if possible. If it is not possible to diagonalize A, explain why. You may use your work from part (a).

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