Discrete Math Proof: Solving Homework Equations

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Bashyboy
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Homework Statement


I attached the problem as a file.


Homework Equations





The Attempt at a Solution


I get stuck on how to properly represent the summation. How does k find it's way as one of the sub-scripts?
 

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I am so sorry, I'll fix that.
 
So,

[itex]AB = \sum_k a_{ki}b_{jk}[/itex]

[itex](AB)^t = \sum_k a_{ki} b_{jk} = \sum_k b_{jk} a_{ki} = B^tA^t[/itex]

Does that look correct?
 
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