13. (10%) Which of the following statements is true for all n x n matrices O?
(A) @ has n distinct eigenvalues
(B) If one of the eigenvalues of Q has multiplicity greater than one, then Q has fewer then n eigenvalues
(C) If Q has no cigenvalues, then the degree of its characteristic polynomial is zero
(D) If one of the eigenvalues of Q has multiplicity greater than one, then Q has fewer than n eigenvectors
(E) None of the preceding statements are true
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