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

A matrix S is symmetric if S = S^{T}. Show that AA^{T}is symmetric for any matrix A.

2. Relevant equations

AA^{T}= (A^{T})^{T}A^{T}

3. The attempt at a solution

I just said:

A = (A^{T})^{T}and A^{T}= A^{T}

Therefore AA^{T}is symmetric.

I am unsure if that proves it or if I just went in a circle proving nothing.

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# Homework Help: Showing a Matrix is Symmetric

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