A diagonalization of the matrix A is given in the form P−1AP = D. List the eigenvalues of A and bases for the corresponding eigenspaces. (Repeated eigenvalues should be entered repeatedly with the same eigenspaces.) 1 10 1 10 1 10 1 2 − 1 2 − 1 2 2 5 2 5 − 3 5 2 2 2 0 0 1 2 2 1 5 1 0 1 −1 1 4 0 −1 = 4 0 0 0 0 0 0 0 −1

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