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Let A be a 3 x 3 matrix with real entries such that det (A) = 6 and the trace of 4 is 0.

Let A be a 3 x 3 matrix with real entries such that det (A) = 6 and the trace of 4 is 0. If det (4+1)= 0, where I denote the 3 x 3 identity matrix, then the eigenvalues of A are -1, 2, 3 -1,2,-3 1, 2, -3 -1, -2, 3

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