Talk:Minimal polynomial

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Untitled[edit]

The description "The multiplicity of a root λ of p(x) is the geometric multiplicity of λ" is wrong.

For example, take the same example in the desription: Consider the matrix 4In, which has characteristic polynomial (x − 4)n. However, the minimal polynomial is x − 4, since 4I − 4I = 0 as desired. Multiplicity of 4 in the minimum polynomial p(x) is 1, which is different from the geometric multiplicity which we know is 4.

Please revise the write up. —The preceding unsigned comment was added by 128.211.252.249 (talk • contribs) 19:41, 12 February 2006 (UTC)

Indeed, but you could have fixed this yourself :-) This is a wiki, after all. Do you agree with my version? Kusma (討論) 19:50, 12 February 2006 (UTC)[reply]

...which I had to rewrite again because I had not been thinking. It should be correct now. Kusma (討論) 19:54, 12 February 2006 (UTC)[reply]

Forgive my ignorance (especially in Field theory), but isn't the minimal polynomial definition given here the one for Linear Algebra? Wouldn't it be best to just redirect this page to the Linear Algebra one and just use the link at the top to go to the field theory page (or redirect to the Field theory page and just use the link to the Linear Algebra page)? Eraserhead1 12:14, 2 April 2007 (UTC)[reply]

OK, now redirected to Linear Algebra page. Eraserhead1 10:49, 19 April 2007 (UTC)[reply]