2 1 -2 Consider the matrix A =0 0 0 0 -2 (a) What are the eigenvalues of A? smallest eigenvalue = middle eigenvalue = largest eigenvalue =| (b) Complete the following list of eigenvectors: an eigenvector for the smallest eigenvalue = an eigenvector for the middle eigenvalue = an eigenvector for the largest eigenvalue = (c) Give an invertible matrix P and a diagonal matrix D which satisfy P-AP =D: 9. P = and D = 1.

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