1. Show for any two n x m matrices A and B that tr(AB) =tr(BA)?2. Show that Tr(A)= (λ1, λ2, λ3, ..., λn) for any nx n matrixA.
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The trace of a matrix, denoted by Tr(â¦), is defined as the sum of the components on the main diagonal. For example, Tr(A) = a11 + a22. Prove that Tr(AB) = Tr(BA).
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