Question 1062029
.
Let A, B, and C be any nxn matrices.  Prove that trace(ABC) = trace(CAB) = trace(BCA).
~~~~~~~~~~~~~~~~~~~~


For it, it is enough to prove trace(AB) = Trace(BA).


For this, see

<A HREF=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</A>


http://math.stackexchange.com/questions/1099745/how-to-prove-tr-ab-tr-ba