Date: May 23, 2006 8:47 AM
Author: David C. Ullrich
Subject: Re: eigenvalues and row transformations?

On 22 May 2006 15:09:24 -0700, "comtech" <comtech.usa@gmail.com>
wrote:

>Dear all,
>
>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?
>
>I am trying to find a relation between elementary row operations and
>the change of eigenvalues?

There is no such relation, as far as I know.

This is a traditional way for students to get zero partial
credit on linear algebra problems: "simplify" a problem
involving eigenvalues by row-reducing the matrix first.

>Thanks a lot!


************************

David C. Ullrich