Introduction to linear algebra

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Discussion Overview

The discussion revolves around a mathematical problem involving the proof of a specific set related to the expression u(z+zw). Participants are exploring the implications and requirements of this proof, questioning the context and definitions involved.

Discussion Character

  • Mathematical reasoning, Debate/contested

Main Points Raised

  • Several participants repeatedly request a proof for the expression u(z+zw)={+1,-1,+w,-w,+w^2,-w^2} without providing additional context.
  • One participant humorously compares the proof request to an absurd statement about the sky being green, suggesting a lack of seriousness in the request.
  • Another participant adds a playful hypothetical scenario about the consequences of a green sky, indicating a lighthearted tone in response to the initial request.
  • A later reply questions the initial problem by asking for more information about "u," implying that the proof may depend on additional definitions or context that have not been provided.

Areas of Agreement / Disagreement

Participants do not appear to agree on the seriousness or validity of the proof request, with some treating it humorously while others seek clarification on the problem's context.

Contextual Notes

The discussion lacks clarity on the definition of "u" and the assumptions necessary for the proof, which may affect the validity of the claims being made.

abs1
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prove that u(z+zw)={+1,-1,+w,-w,+w^2,-w^2}
 
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abs said:
prove that u(z+zw)={+1,-1,+w,-w,+w^2,-w^2}

You may as well ask us to prove that if the sky is green then faeces smell like roses...
 
Prove It said:
You may as well ask us to prove that if the sky is green then faeces smell like roses...

If the sky is green, then a storm is coming.
If the storm comes, many things will be blown away, including faeces and roses. This, in turn, makes their smells mixed up.

Sorry, couldn't resist.
 
abs said:
prove that u(z+zw)={+1,-1,+w,-w,+w^2,-w^2}
Seriously, there must be more to this problem. What are you told about "u"?
 

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