From: sneha dutta on
Hi:

Can anyone tell me under what conditions the eigen value decomposition of a matrix yields unique eigen value matrix and eigen vectors?
Any kind of help will be appreciated.
cheers
From: John D'Errico on
"sneha dutta" <lisade_1(a)yahoo.com> wrote in message <huh2ag$gu7$1(a)fred.mathworks.com>...
> Hi:
>
> Can anyone tell me under what conditions the eigen value decomposition of a matrix yields unique eigen value matrix and eigen vectors?
> Any kind of help will be appreciated.
> cheers

The eigenvalues are what they are.

Replicate eigenvalues imply non-uniqueness for the
corresponding eigenvectors.

The eigenvectors themselves are unique only to a
scale factor.

John