File r37/lisp/csl/html/r37_0579.html artifact 3991aa8bba part of check-in a57e59ec0d

<A NAME=char_matrix>

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



<B>CHAR_MATRIX</B> _ _ _  _ _ _  _ _ _  _ _ _ <B>operator</B><P>
<P>
 
<P>
<P>
 <P> <H3> 
syntax: </H3>
<em>char_matrix</em>(&lt;matrix&gt;,&lt;lambda&gt;) 
<P>
<P>
<P>
&lt;matrix&gt; :- a square matrix. 
&lt;lambda&gt; :- a symbol or algebraic expression. 
<P>
<P>
&lt;char\_matrix&gt; creates the characteristic matrix C of 
&lt;matrix&gt;. 
<P>
<P>
This is C = &lt;lambda&gt; * Id - A. 
Id is the identity matrix. 
<P>
<P>
 <P> <H3> 
examples: </H3>
<P><PRE><TT>

char_matrix(A,x); 

  [x - 1   -2     -3  ]
  [                   ]
  [ -4    x - 5   -6  ]
  [                   ]
  [ -7     -8    x - 9]

</TT></PRE><P>Related functions: 
<A HREF=r37_0580.html>char_poly</A>. 
<P>
<P>