Question: Let V = C 4 . Suppose that T L(V ) has only two distinct eigenvalues, 1 = 2022 and = 1. Further, suppose that

Let V = C 4 . Suppose that T L(V ) has only two distinct eigenvalues, 1 = 2022 and = 1. Further, suppose that the minimal polynomial of T is p(z) = (z 2022)(z + 1)^2 . Prove that T is not normal.

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