(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Prove that if A and B are symmetricnxnmatrices then AB is symmetric if and only if AB=BA

2. Relevant equations

3. The attempt at a solution

I tried to say AB=(AB)^{T}=B^{T}A^{T}=BA

But I don't think this is correct.

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# Simple Linear Algebra Proof

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