Question: Let A, B Rmn be two real rectangular matrices, i.e, with sizes compatible for multiplication. Show that trace ABT = trace BT A = trace

Let A, B Rmn be two real rectangular matrices, i.e, with sizes compatible for multiplication. Show that trace ABT = trace BT A = trace BAT . 1 2. Let A, B, C Sn. Show that trace ABC = trace CAB = trace BCA. Is it true that trace ABC = trace ACB? 3. Let A, B, C Rnn. Show that trace ABC = trace CAB = trace BCA. Is it true that trace ABC = trace ACB

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