- #1
Bipolarity
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Homework Statement
Prove the following statement, where A and B are nxn matrices.[tex] Tr(AB) = Tr(BA) [/tex]
Homework Equations
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