In article <email@example.com>, comtech <firstname.lastname@example.org> wrote:
>If I have a matrix, and I apply elementary row operations on it. For >example, I apply a row-changing matrix to multiply to the original >matrix from the left hand-side, so I exchange two rows in the original >matrix. > >How does this operation affect the eigenvalues?
As has been mentioned, the row swap will multiply the determinant (which is the product of the eigenvalues, counting multiplicities) by -1. Otherwise there's not very much to be said about the effect on the eigenvalues.
On the other hand, the singular values are unchanged.