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>