Question: Question is from Advanced Linear Algebra. Give the proof with all reasons and necessary detail steps for understanding sake . 3. Let A and B

Question is from Advanced Linear Algebra. Give the proof with all reasons and necessary detail steps for understanding sake .

3. Let A and B be two n x n-matrices. Show that Tr(AB) = Tr(BA). 4. Let Mn, My, Mnewsybe the vector spaces of all n x n-matrices, all symmetric nxn-matrices, and all skew-symmetric nxn-matrices. Show that Mn = MemoMn skewsym

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