SOLUTION: Prove that the product of any matrix and it's transpose is symmetric
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Question 1117159: Prove that the product of any matrix and it's transpose is symmetric
Answer by rothauserc(4718) (Show Source): You can put this solution on YOUR website!
(AB)^T=B^T A^T, then
:
(A^T A)^T = A^T(A^T)^T = A^T A and therefore
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A^T A is always symmetric
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Note (A^T)^T = A
:
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