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6. (20 pts) Consider the matrix A = -(X+1). 1 0 with characteristic polynomial -1 -2 a) Find the eigenvalues of matrix A, with

6. (20 pts) Consider the matrix A = -(X+1). 1 0 with characteristic polynomial -1 -2 a) Find the eigenvalues of matrix A, with their multiplicities. b) Find a basis for each eigenspace.

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