Date: Dec 9, 2012 4:35 AM
Author: Bruno Luong
Subject: Re: eigenvectors

"Frank " <allinone_2003@yahoo.com.hk> wrote in message <ka1bes$dcs$1@newscl01ah.mathworks.com>...
> Hello,
>
> I have 2 matrices, A1 and A2 which are both 5x5
>
> A1 = P1*Z1 + Q1 and
> A2 = P2*Z2 + Q2
>
> where P1 (5x2), P2(5x1), Q1 (5x5), and Q2 (5x5) are known matrices but Z1 (2x5) and Z2(1x5) are unknown matrices.
>
> Are there any methods to choose suitable Z1 and Z2 so that A1 and A2 have the same eigenvectors?


Not possible in general.

Bruno