# Give an example to show the eigenvalues can be changed when a multiply of one row is subtracted from one another

Is the following a good example?

$$P=\begin{bmatrix}1&1\\1&1\end{bmatrix}$$

then, multiply the first row with 1 and subtract the first row from the second row, we can get:

$$P'=\begin{bmatrix}1&1\\0&0\end{bmatrix}$$

Eigenvalues P= 0,2 Eigenvalues P'=0,1

I wonder whether this can be a good example for the problem.

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Why wouldn't it be? Where are you having trouble? –  Graphth Sep 30 '12 at 0:08
Is there any general condition which needs to be satisfied? –  Daryl Sep 30 '12 at 0:10