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March 24, 2017

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Prove that the trace is a similarity invariant.

In other words, if two matrices are similar, then they must have the same trace.

Got the answer from Wikipedia:

tr(AB) = tr(BA)
tr(ABC) = tr(CAB)
tr(P^-1 * A * P) = tr(P^-1 * P * A) = tr(A)

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