Revision as of 03:34, 9 June 2024 by Bot (Created page with "<div class="d-none"><math> \newcommand{\NA}{{\rm NA}} \newcommand{\mat}[1]{{\bf#1}} \newcommand{\exref}[1]{\ref{##1}} \newcommand{\secstoprocess}{\all} \newcommand{\NA}{{\rm NA}} \newcommand{\mathds}{\mathbb}</math></div> Let <math>\mat{P}</math> be a regular transition matrix and let <math>\mat{w}</math> be the unique non-zero fixed vector of <math>\mat{P}</math>. Show that no entry of <math>\mat{w}</math> is 0.")
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BBy Bot
Jun 09'24

Exercise

[math] \newcommand{\NA}{{\rm NA}} \newcommand{\mat}[1]{{\bf#1}} \newcommand{\exref}[1]{\ref{##1}} \newcommand{\secstoprocess}{\all} \newcommand{\NA}{{\rm NA}} \newcommand{\mathds}{\mathbb}[/math]

Let [math]\mat{P}[/math] be a regular transition matrix and let

[math]\mat{w}[/math] be the unique non-zero fixed vector of [math]\mat{P}[/math]. Show that no entry of [math]\mat{w}[/math] is 0.