Question
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)
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)