<?xml version="1.0" encoding='utf-8'?>
<!DOCTYPE wml PUBLIC "-//WAPFORUM//DTD WML 1.1//EN" "http://www.wapforum.org/DTD/wml_1.1.xml">
<wml>
<card id="card1" title="Stochastic matrix - Page 4 - Wikipedia">
<p>
<a accesskey="1" href="page.php?w=stochastic_matrix&amp;p=3">1.Previous</a><br />
<a accesskey="3" href="page.php?w=stochastic_matrix&amp;p=5">3.Next</a>
</p>
<p>row and column summing to 1.<br/>
*A <b>substochastic matrix</b> is a real square matrix whose row sums are all In the same vein, one may define a <a href="page.php?w=probability_vector">probability vector</a> as a <a href="page.php?w=Euclidean_vector">vector</a> whose elements are nonnegative real numbers which sum to 1. Thus, each row of a right stochastic matrix (or column of a left stochastic matrix) is a probability vector.  Right stochastic matrices act upon <a href="page.php?w=row_vector">row vector</a>s of probabilities by multiplication</p><p>
<a accesskey="1" href="page.php?w=stochastic_matrix&amp;p=3">1.Previous</a><br />
<a accesskey="3" href="page.php?w=stochastic_matrix&amp;p=5">3.Next</a>
</p>

<do type="prev" label="Search">
        <go href="search.wml"/>
</do>

</card>
</wml>
