George Hammond <ghammond@mediaone.net> writes:
....
> Next comes the interesting part. It is well known that all real
> symmetric matrices possess eigenvalues and eigenvectors (see any math
> text). Using large computers they can extract the eigenvalues and
> eigenvectors from the 1000x1000 matrix. And, they can plot the
> eigenvectors (which are vectors) as a graphical diagram. The first
> thing they discovered is that there are only 13-eigenvectors. ...
A 1000x1000 real symmetric matrix always admits 1000 linearly
independent eigenvectors. This is the well known result that is
referred to here.
Stein
-- http://www.mi.uib.no/~stromme
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