Revision as of 02:33, 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> Find the fixed probability vector <math>\mat{w}</math> for each of the following regular matrices. <ul><li> <math>\mat {P} = \pmatrix{ .75 & .25 \cr .5 & .5}</math>. \smallskip </li> <li> <math>\mat {P} = \pmatrix{ .9 & .1 \cr .1 & .9}</math>. \s...")
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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]

Find the fixed probability vector [math]\mat{w}[/math] for each of

the following regular matrices.

  • [math]\mat {P} = \pmatrix{ .75 & .25 \cr .5 & .5}[/math]. \smallskip
  • [math]\mat {P} = \pmatrix{ .9 & .1 \cr .1 & .9}[/math]. \smallskip
  • [math]\mat {P} = \pmatrix{ 3/4 & 1/4 & 0 \cr 0 & 2/3 & 1/3 \cr 1/4 & 1/4 & 1/2}[/math]. \smallskip