Consider the stochastic matrices M₁ = 0 * 0 * 0 * 0 * 0 0 * 0 * 0 * " M₂ 0 * 0 * 0 0 * 0 * " M3 = * 0 0 0 * * 0 0 * * 0 * where all entries marked with * are greater than 0. For each of them, find the number of commu- nicating classes, and decide if they are closed (briefly justify).

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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Chapter1: Starting With Matlab
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Consider the stochastic matrices
M₁
=
*
0 * 0
0 * 0 *
*
0 * 0
0 * 0 *
"
M2
=
0
*
*
*
0
* 0
0 * 0 *
*
0
*
"
M3
=
* 0
*
*
0
0
* * 0 *
*
*
*
"
where all entries marked with * are greater than 0. For each of them, find the number of commu-
nicating classes, and decide if they are closed (briefly justify).
Transcribed Image Text:Consider the stochastic matrices M₁ = * 0 * 0 0 * 0 * * 0 * 0 0 * 0 * " M2 = 0 * * * 0 * 0 0 * 0 * * 0 * " M3 = * 0 * * 0 0 * * 0 * * * * " where all entries marked with * are greater than 0. For each of them, find the number of commu- nicating classes, and decide if they are closed (briefly justify).
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