Find all eigenvalues and corresponding eigenvectors of A = 1 + i 0 0 2 2i 1 3i 0 2i 0 1

Chapter 7, Problem 33

(choose chapter or problem)

Find all eigenvalues and corresponding eigenvectors of A = 1 + i 0 0 2 2i 1 3i 0 2i 0 1 . Note that the eigenvectors do not occur in complex conjugate pairs. Does this contradict Theorem 7.1.8? Explain.

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