Took a test. Yay I’ve been stamped!
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Monthly Archive for March, 2005
Principle axis theorem, leads on from perron’s theorem. Since a proof of perron’s theorem I read for symmetric positive matrices, uses the principle axis theorem to show that it has a positive eigenvalue.
Every symmetric matrix is diagonalizable.
Essentially as far as I can tell, the spectral theorem says this. According the my resource this is often called the principle axis theorem.
Anyway the proof the PAT use the ST, and is rather short. They are rather related it seems.
Princple axis theorem for quadratic forms, shows given a quadratic function, you can find a basis which is the principle axis of the quadratic. Damn text and it’s math limitations!
Finished Perron’s theorem, now starting the principle axis theorem.
Is that light? or is it a trap?!
I’m worried, about kat.
Joined up at bookcrossing.com
I want to share a book, but can’t bare to part with any of my good ones. I’m going to go hunt for a book in humanities 3, one was released there.
Don’t think it’ll be there but you never know.
Back to the P-F theorem, in the 2×2 matrix case, with positive entries. I think I’ve found the eigenvalues and they are both positive… hmm.. that can’t be right.. what if one is zero?
better check that..
