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

Question #1860

Prove that tr(A.A

^{T})=tr(A^{T}.A) for every matrix A.Expert's answer

Aij = A

tr(A.A

tr(A

^{T}jitr(A.A

^{T}) =∑ ∑A_{ij }A_{ij}= ∑ A_{ij}^{2}tr(A

^{T}.A) =∑ ∑A_{ji }Aji = ∑ ∑A_{ij }Aij = ∑ A_{ij}^{2}Need a fast expert's response?

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