Which one of the following statements are true? Select all true statements. Only select true statements. (a) If AB is a square matrix, then the multiplication BA can be performed. (b) det(ABA-!) = det (B) (c) For matrices A and B, if AB = 0 then either A = 0 or B = 0. (d) For any elementary matrix E, det(EA) = det(A). (e) If det(A) # 0 then the linear system Ar = b is consistent for any vector b.

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