Re: linear algebra



In article <m315p190kg12ik2ah1630f0cijn6nmd84r@xxxxxxx>, quasi
<quasi@xxxxxxxx> wrote:

> On Sun, 04 Dec 2005 05:42:58 GMT, "Mkajuma" <mboghom@xxxxxxxxxxxxxx>
> wrote:
>
> >Hi
> >Is this correct?
> >Suppose V = U + W, (Direct sum of U and W) where U and W are nonzero
> >subspaces of V. Find all eigenvalues and eigenvectors of P u,w, where
> >Pu,w is the projection onto U.
>
> the eigenvectors are all of the form (u,0) and the eigenvalues are all
> 1.
>
> quasi

Why do you say that vectors of the vorm (0,w) are not eigenvectors?
.



Relevant Pages

  • PCA with strange reconstuction
    ... I have a strange behavior with a PCA code I wrote. ... eigenvectors, then I reorded in descending order the ... eigenvectors there are no problem during the projection and ... eigenvectors and then try to reconstruct the reconstructed ...
    (comp.soft-sys.matlab)
  • function output problem
    ... % CSD - Schur decomposition of the Cross spectrum ... % x - Angular frequency ... which is only the eigenvectors ... Prev by Date: ...
    (comp.soft-sys.matlab)
  • Re: eigenvalue/eigenvector question again
    ... > UDU' where as you mentioned, U is a orthogonal matrix whose ... > columns are normalized eigenvectors (But hold on, ... may have rotations in the subspaces corresponding to the repeated ... D = SDS' and PU is an orthogonal matrix. ...
    (sci.math.num-analysis)
  • Can you find the eigenvalue and eigenvector of this matrix fast?
    ... esp. ... eigenvectors... ... Computer aid is not allowed. ... Prev by Date: ...
    (sci.math)
  • Re: linear algebra
    ... >In article, quasi ... >> the eigenvectors are all of the form and the eigenvalues are all ... Any more vectors claiming to be ...
    (sci.math)