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Compute the eigenvalues of each of the matrices: 20 1 (a) 0 00 1 0 2 2 1 1 (b) 0 3 1 0

Compute the eigenvalues of each of the matrices: 20 1 (a) 0 00 1 0 2 2 1 1 (b) 0 3 1 0 0 2 1 0 0 (c) 0 -1 0 0 1 1 For each matrix in the problem above, find the basis for the eigenspace corresponding to each eigen-value. Diagonalize each matrix (if possible) in the problem above. If the matrix is not diagonalizable, then explain why. 13

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