Just curious...does anyone know how eigenvalues and eigenvectors got their names? Decrypt3 02:20, Jul 21, 2004 (UTC)
- From de Gërmân, of course! The original was "Eigenwert". Graft 02:40, 21 Jul 2004 (UTC)
- What does "Eigenwert" mean? Decrypt3 14:24, Jul 21, 2004 (UTC)
- I'd guess, 'own value'.
- A better translation would be intrinsic value.
is there any reason for the "Topics in mathematics related to linear algebra" table to be at the top instead of the bottom? ✈ James C. 19:07, 2004 Aug 2 (UTC)
"The geometric multiplicity of λ is the number of factors t-λ of the minimal polynomial of A or equivalently the nullity of (λI-A)." This is untrue. The geometric multiplicity is defined as the nullity of (λI-A), which is not equivalent to "the number of factors t-λ of the minimal polynomial of A." Here's a counter example:
1 -3 3 3 -5 3 6 -6 4
The geometric multiplicity of λ=-2 is 2, while the minial polynomial is (t+2)(t-4). So the number of factors t-λ of the minimal polynomial is 1.
- You're right. There is also a term for the number of factors in the minimal polynomial, which I've unfortunately forgotten; do you remember it? In any case, please do improve the article. -- Jitse Niesen 12:33, 11 Apr 2005 (UTC)
It's another name. I created the article, maybe you guys could mention it.