exercise:9bc47956f1: 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 display="block"> \mat {P} = \pmatrix{ 1 & 0 & 0 \cr .25 & 0 & .75 \cr 0 & 0 & 1 } </math> be a transition matrix of a Markov chain. Find two fixed vectors of <math>\mat {P}</math> that are linearly independent. Does this show that the...") |
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be a transition matrix of a Markov chain. Find two fixed vectors of <math>\mat {P}</math> | be a transition matrix of a Markov chain. Find two fixed vectors of <math>\mat {P}</math> | ||
that | that are linearly independent. Does this show that the Markov chain is not regular? | ||
are linearly independent. Does this show that the Markov chain is not regular? | |||
Latest revision as of 21:14, 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} = \pmatrix{ 1 & 0 & 0 \cr .25 & 0 & .75 \cr 0 & 0 & 1 }
[[/math]]
be a transition matrix of a Markov chain. Find two fixed vectors of [math]\mat {P}[/math] that are linearly independent. Does this show that the Markov chain is not regular?