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8. (5 pts) If A and B are similar matrices, which of the following is not necessarily true? (A) rank(A) = rank(B) (B) tr(A) =

8. (5 pts) If A and B are similar matrices, which of the following is not necessarily true? (A) rank(A) = rank(B) (B) tr(A) = tr(B) (C) A and B exist and are similar. (D) Av = Av if and only if By = 2v

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