Re: Eigenvectors
- To: mathgroup at smc.vnet.net
- Subject: [mg21918] Re: [mg21896] Eigenvectors
- From: Ken Levasseur <Kenneth_Levasseur at uml.edu>
- Date: Fri, 4 Feb 2000 02:54:46 -0500 (EST)
- Organization: UMass Lowell Mathematical Sciences
- References: <200002030354.WAA24469@smc.vnet.net>
- Sender: owner-wri-mathgroup at wolfram.com
Birgit:
It could be that the matrix you have has an eigenvalue c of multipicity
greater than 1 and the corresponding eigenspace (nullspace of matrix - c
IdentityMatrix) has dimension less than this multiplicity. The simplest
example would be the two by two matrix {{a,1},{0,a}}, which has a double
e'value of a and only a one dimensional eigenspace spanned by {1,0}.
Ken Levasseur
Math Sciences
UMass Lowell
Birgit Hagedorn wrote:
>
> Greetings,
>
> What is the difference between the NullSpace (m-xIdentityMatrix) and the
> Eigenvector. I have a 8x8 matrix and 8 eigenvalues.The NullSpace for all
> Eigenvalues is (), but I get 7 Eigenvectors. Can you help me to
> understand the difference or how the Eigenvectors were calculated with
> Mathematica.
>
> Thanks,
> Birgit
- References:
- Eigenvectors
- From: Birgit Hagedorn <bhagedo@gwdg.de>
- Eigenvectors