7. Consider the following (3x3)-matrix [2-2 3] 0 3-2 0 -1 2 M= a. First find all the eigenvalues of M. b. Find the corresponding eigenspaces and their respective dimensions. c. Form a basis of eigenvectors for M. d. Find the matrix P which forms a diagonalization for M, i.e. P-1M P = D. What is the matrix D?

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