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Mathematics, 10.02.2020 19:21 Dontslack

Prove that if A and B are matrices such that AB and BA both exist, then AB and BA have the same sum of diagonal elements, i. E., tr(AB) = tr(BA). Extend the result to show that tr(ABC) = tr(BCA), provided the matrices are conformable for multiplication (15 points).

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Prove that if A and B are matrices such that AB and BA both exist, then AB and BA have the same sum...
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