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Answer to Question #1860 in Matrix | Tensor Analysis for Zeina

Question #1860
Prove that tr(A.AT)=tr(AT.A) for every matrix A.
Expert's answer
Aij = ATji
tr(A.AT) =∑ ∑Aij Aij = ∑ Aij2
tr(AT.A) =∑ ∑Aji Aji = ∑ ∑Aij Aij = ∑ Aij2

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