MHB Introduction to linear algebra

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"?
 
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...
Fermat's Last Theorem has long been one of the most famous mathematical problems, and is now one of the most famous theorems. It simply states that the equation $$ a^n+b^n=c^n $$ has no solutions with positive integers if ##n>2.## It was named after Pierre de Fermat (1607-1665). The problem itself stems from the book Arithmetica by Diophantus of Alexandria. It gained popularity because Fermat noted in his copy "Cubum autem in duos cubos, aut quadratoquadratum in duos quadratoquadratos, et...
Thread 'Imaginary pythagorus'
I posted this in the Lame Math thread, but it's got me thinking. Is there any validity to this? Or is it really just a mathematical trick? Naively, I see that i2 + plus 12 does equal zero2. But does this have a meaning? I know one can treat the imaginary number line as just another axis like the reals, but does that mean this does represent a triangle in the complex plane with a hypotenuse of length zero? Ibix offered a rendering of the diagram using what I assume is matrix* notation...

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