MHB Introduction to linear algebra

AI Thread Summary
The discussion centers on proving that u(z+zw) equals the set {+1, -1, +w, -w, +w^2, -w^2}. Participants express skepticism about the proof's validity, likening it to absurd hypothetical scenarios. There is a call for clarification regarding the definition of "u" in the context of the problem. The conversation highlights the need for more information to approach the proof effectively. Overall, the participants seek a deeper understanding of the mathematical concepts involved.
abs1
Messages
4
Reaction score
0
prove that u(z+zw)={+1,-1,+w,-w,+w^2,-w^2}
 
Mathematics news on Phys.org
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"?
 
Suppose ,instead of the usual x,y coordinate system with an I basis vector along the x -axis and a corresponding j basis vector along the y-axis we instead have a different pair of basis vectors ,call them e and f along their respective axes. I have seen that this is an important subject in maths My question is what physical applications does such a model apply to? I am asking here because I have devoted quite a lot of time in the past to understanding convectors and the dual...
Insights auto threads is broken atm, so I'm manually creating these for new Insight articles. In Dirac’s Principles of Quantum Mechanics published in 1930 he introduced a “convenient notation” he referred to as a “delta function” which he treated as a continuum analog to the discrete Kronecker delta. The Kronecker delta is simply the indexed components of the identity operator in matrix algebra Source: https://www.physicsforums.com/insights/what-exactly-is-diracs-delta-function/ by...

Similar threads

Replies
44
Views
5K
Replies
4
Views
2K
Replies
17
Views
7K
Replies
2
Views
2K
Replies
1
Views
3K
Replies
0
Views
3K
Replies
5
Views
1K
Replies
1
Views
2K
Back
Top