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How to solve matrix equitions -- LinearSolve?

• To: mathgroup at smc.vnet.net
• Subject: [mg22187] How to solve matrix equitions -- LinearSolve?
• From: "Wang, Xiaoguang(Freeman)" <xiaoguaw+ at pitt.edu>
• Date: Thu, 17 Feb 2000 01:24:22 -0500 (EST)
• Organization: University of Pittsburgh
• Sender: owner-wri-mathgroup at wolfram.com

Hi,

I want to solve such equations about Markov Chain

Vector : PI 1xn
Matrix : Q nxn

PI  = PI . Q and
Sum(PI0, PI1, .. PIn) = 1

How could I solve this problem in Mathematica? Which command should I use?

Thanks.
Xiaoguang