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)
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(AB)^T=B^T A^T, then
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(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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