Let A be a 3 × 3 matrix with trace (A) = 3 and det (A) = 2. If 1 is an eigenvalue of A, then the eigenvalues of the matrix A2 – 2I are:

1
1, 2 (i - 1), -2 (i + 1)
2
-1, 2 (i - 1), 2 (i + 1)
3
1, 2 (i + 1), -2 (i + 1)
4
-1, 2 (i - 1), -2 (i + 1)

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