SOLUTION: Let A, B, and C be any nxn matrices. Prove that trace(ABC) = trace(CAB) = trace(BCA).
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Question 1062029: Let A, B, and C be any nxn matrices. Prove that trace(ABC) = trace(CAB) = trace(BCA).
Answer by ikleyn(52786) (Show Source): You can put this solution on YOUR website!
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Let A, B, and C be any nxn matrices. Prove that trace(ABC) = trace(CAB) = trace(BCA).
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For it, it is enough to prove trace(AB) = Trace(BA).
For this, see
http://math.stackexchange.com/questions/1099745/how-to-prove-tr-ab-tr-ba
http://math.stackexchange.com/questions/1099745/how-to-prove-tr-ab-tr-ba
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