exercise:Ebf2287879: Difference between revisions
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(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 <math>r \times r</math> transition matrix and <math>\mat{y}</math> any <math>r</math>-component column vector. Show that the value of the limiting constant vector for <math>\mat {P}^n \mat {y}</math> is <mat...") |
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\newcommand{\secstoprocess}{\all} | \newcommand{\secstoprocess}{\all} | ||
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\newcommand{\mathds}{\mathbb}</math></div> Let <math>\mat{P}</math> be a regular <math>r \times r</math> transition matrix | \newcommand{\mathds}{\mathbb}</math></div> Let <math>\mat{P}</math> be a regular <math>r \times r</math> transition matrix and <math>\mat{y}</math> any <math>r</math>-component column vector. Show that the value of the limiting constant vector for <math>\mat {P}^n \mat {y}</math> is <math>\mat{w}\mat{y}</math>. | ||
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<math>\mat{y}</math> any <math>r</math>-component column vector. Show that the value of the limiting | |||
constant vector for <math>\mat {P}^n \mat {y}</math> is <math>\mat{w}\mat{y}</math>. | |||
Latest revision as of 22:14, 15 June 2024
[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 [math]r \times r[/math] transition matrix and [math]\mat{y}[/math] any [math]r[/math]-component column vector. Show that the value of the limiting constant vector for [math]\mat {P}^n \mat {y}[/math] is [math]\mat{w}\mat{y}[/math].