Question: 4. (5 points) Let X be an n x p matrix and Y be an p x n matrix. Prove that Tr(XY) = Tr(Y X).

4. (5 points) Let X be an n x p matrix and Y be an p x n matrix. Prove that Tr(XY) = Tr(Y X). Recall that if Z = [2;;] is an n x n matrix, then the trace of Z is Tr(8,;]) = an + azz + + 2nn

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