Discrete Math Proof: Solving Homework Equations

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Homework Help Overview

The discussion revolves around a problem in discrete mathematics, specifically focusing on the representation of summations in matrix multiplication and transposition.

Discussion Character

  • Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • The original poster expresses confusion about the representation of summation and the role of the subscript k. Other participants engage by discussing the properties of matrix transposition and questioning the correctness of the expressions presented.

Discussion Status

Participants are actively exploring the mathematical properties related to matrix operations, particularly focusing on the transposition of products. Some guidance has been offered regarding the formulation of the expressions, but there is no explicit consensus on the correctness of the original poster's attempt.

Contextual Notes

There was an initial issue with an attachment that was not provided, which may have contributed to the confusion in the discussion.

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?
 

Attachments

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Last edited:
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Your post makes no sense and there is no attachment.
 
I am so sorry, I'll fix that.
 
Okay, you have BTAT. Now, what is (AB)T?
 
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?
 
Last edited:

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