Re: Left eigenvectors?

*To*: mathgroup at christensen.cybernetics.net*Subject*: [mg1034] Re: Left eigenvectors?*From*: Richard Mercer <richard at seuss.math.wright.edu>*Date*: Wed, 10 May 1995 06:25:29 -0400

> Hi, > > I've been using Eigensystem[A] for a while now to find > the eigenvalues and eigenvectors of the matrix A. The > eigenvectors that it finds are the right eigenvectors of > A, i.e., > > A.rvec == val*rvec, > > where val is an eigenvalue and rvec is the associated > right eigenvector. I'd now like to find the left > eigenvectors of A, i.e., > > lvec.A == val*lvec. > > How should I go about this? The "left" eigenvectors of A are the same as the (right) eigenvectors of the transpose of A. So just use Eigenvectors[Transpose[A]] Richard Mercer