exercise:D3d062a768: 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> For Example, verify that the following matrix is the inverse of <math>\mat{I} - \mat{Q}</math> and hence is the fundamental matrix <math>\mat{N}</math>. <math display="block"> \mat{N} = \pmatrix{ 8/3 & 1/6 & 4/...") |
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\newcommand{\secstoprocess}{\all} | \newcommand{\secstoprocess}{\all} | ||
\newcommand{\NA}{{\rm NA}} | \newcommand{\NA}{{\rm NA}} | ||
\newcommand{\mathds}{\mathbb}</math></div> For [[guide:52e01d4de7#exam 11.1.9 |Example]], verify that the following | \newcommand{\mathds}{\mathbb}</math></div> For [[guide:52e01d4de7#exam 11.1.9 |Example]], verify that the following matrix is the inverse of <math>\mat{I} - \mat{Q}</math> and hence is the fundamental matrix <math>\mat{N}</math>. | ||
matrix is the inverse of <math>\mat{I} - \mat{Q}</math> and hence is the fundamental | |||
matrix <math>\mat{N}</math>. | |||
<math display="block"> | <math display="block"> | ||
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2/3 & 1/6 & 4/3 & 8/3 \cr}\ . | 2/3 & 1/6 & 4/3 & 8/3 \cr}\ . | ||
</math> | </math> | ||
Find <math>\mat{N} \mat{c}</math> and <math>\mat{N} \mat{R}</math>. Interpret the results. | Find <math>\mat{N} \mat{c}</math> and <math>\mat{N} \mat{R}</math>. Interpret the results. | ||
Latest revision as of 21:56, 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]
For Example, verify that the following matrix is the inverse of [math]\mat{I} - \mat{Q}[/math] and hence is the fundamental matrix [math]\mat{N}[/math].
[[math]]
\mat{N} = \pmatrix{
8/3 & 1/6 & 4/3 & 2/3 \cr
4/3 & 4/3 & 8/3 & 4/3 \cr
4/3 & 1/3 & 8/3 & 4/3 \cr
2/3 & 1/6 & 4/3 & 8/3 \cr}\ .
[[/math]]
Find [math]\mat{N} \mat{c}[/math] and [math]\mat{N} \mat{R}[/math]. Interpret the results.