If A and B are square matrices of the same order, which of the following trace properties is always true? A. Trace(AB) = Trace(A)Trace(B) B. Trace(AB) = Trace(BA) C. Trace(AB) = 0 D. Trace(A') = −Trace(A) Answer: B) Trace(AB) = Trace(BA) Explanation: A fundamental property of the trace is that it is invariant under cyclic permutations, so Trace(AB) = Trace(BA).

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If A and B are square matrices of the same order, which of the following trace properties is always true?

VAVidaara Admin Asked 6d ago 0 views 0 answers

If A and B are square matrices of the same order, which of the following trace properties is always true?

Answer: B) Trace(AB) = Trace(BA)

Explanation: A fundamental property of the trace is that it is invariant under cyclic permutations, so Trace(AB) = Trace(BA).