Question: Assuming that A, B, C, D are 3 x 3 real matrices, which of the following statements are ALWAYS true? A(B + C) = AB

Assuming that A, B, C, D are 3 x 3 real matrices, which of the following statements are ALWAYS true? A(B + C) = AB - CA Tr(ABCD) = Tr(CDAB D (AB)T - ATBT A is not singular if and only if rank( A) = 3

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