Introduction to linear algebra

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SUMMARY

The discussion centers on proving the equation u(z+zw)={+1,-1,+w,-w,+w^2,-w^2}, which involves the concept of a function u in the context of linear algebra. Participants express skepticism about the validity of the proof request, comparing it to absurd hypothetical scenarios. The conversation highlights the need for additional context regarding the function u to facilitate a meaningful proof.

PREREQUISITES
  • Understanding of linear algebra concepts, particularly functions and their properties.
  • Familiarity with complex numbers and their representations.
  • Knowledge of polynomial expressions and their roots.
  • Basic proof techniques in mathematics.
NEXT STEPS
  • Research the properties of functions in linear algebra, focusing on u-type functions.
  • Study the implications of complex numbers in polynomial equations.
  • Learn about the roots of unity and their applications in linear algebra.
  • Explore mathematical proof techniques to strengthen argumentation skills.
USEFUL FOR

Mathematics students, educators, and anyone interested in deepening their understanding of linear algebra and proof techniques.

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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