exercise:B41a2e5f59: 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> 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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\newcommand{\mathds}{\mathbb}</math></div> Find the fixed probability vector <math>\mat{w}</math> for each of | \newcommand{\mathds}{\mathbb}</math></div> Find the fixed probability vector <math>\mat{w}</math> for each of the following regular matrices. | ||
the | <ul style="list-style-type:lower-alpha"><li> <math>\mat {P} = \pmatrix{ .75 & .25 \cr .5 & .5}</math>. | ||
following regular matrices. | |||
<ul><li> <math>\mat {P} = \pmatrix{ .75 & .25 \cr .5 & .5}</math>. | |||
\smallskip | \smallskip | ||
</li> | </li> | ||
Latest revision as of 21:46, 17 June 2024
[math]
\newcommand{\NA}{{\rm NA}}
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\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