Revision as of 03:31, 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> In Example, let <math>a = 0</math> and <math>b = 1/2</math>. Find <math> \mat {P},~ \mat {P}^2,</math> and <math> \mat {P}^3.</math> What would <math> \mat {P}^n</math> be? What happens to <math> \mat {P}^n</...")
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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]

In Example, let [math]a = 0[/math] and [math]b = 1/2[/math].

Find [math] \mat {P},~ \mat {P}^2,[/math] and [math] \mat {P}^3.[/math] What would [math] \mat {P}^n[/math] be? What happens to [math] \mat {P}^n[/math] as [math]n[/math] tends to infinity? Interpret this result.