(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known dataProve the following statement, where A and B are nxn matrices.

[tex] Tr(AB) = Tr(BA) [/tex]

2. Relevant equations

3. The attempt at a solution

Using some manipulations, I arrived at

[tex] \sum^{n}_{p=1}\sum^{n}_{k=1}A_{pk}B_{kp} = \sum^{n}_{p=1}\sum^{n}_{k=1}B_{pk}A_{kp} [/tex]

If I can prove the above, I am done, but I have never worked with double sigma notations before, so any advice folks?

BiP

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# Homework Help: Splitting sigmas

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