Consider the following five statements about similar matrices. (i) If A and B are similar matrices, then at least one of A and B is a triangular matrix. (ii) If A and B are similar matrices, then det(A) = det(B). (iii) If A and B are similar matrices, then A² and B² are similar. (iv) If A and B are similar matrices, then A and B have the same eigenvalues. (v) If A and B are similar matrices and A is symmetric, then B is symmetric.

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