File r37/lisp/csl/html/r37_0580.html artifact 53564b65ae part of check-in a57e59ec0d

<A NAME=char_poly>

<TITLE>char_poly</TITLE></A>
<b><a href=r37_idx.html>INDEX</a></b><p><p>



<B>CHAR_POLY</B> _ _ _  _ _ _  _ _ _  _ _ _ <B>operator</B><P>
<P>
 
<P>
<P>
 <P> <H3> 
syntax: </H3>
<em>char_poly</em>(&lt;matrix&gt;,&lt;lambda&gt;) 
<P>
<P>
<P>
&lt;matrix&gt; :- a square matrix. 
<P>
<P>
&lt;lambda&gt; :- a symbol or algebraic expression. 
<P>
<P>
<em>char_poly</em>finds the characteristic polynomial of &lt;matrix&gt;. 
This is the determinant of &lt;lambda&gt; * Id - A. 
Id is the identity matrix. 
<P>
<P>
 <P> <H3> 
examples: </H3>
<P><PRE><TT>
char_poly(A,x); 

   3     2
  x -15*x -18*x

</TT></PRE><P>Related functions: 
<A HREF=r37_0579.html>char_matrix</A>. 
<P>
<P>