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<A NAME=jordan_block>

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



<B>JORDAN_BLOCK</B> _ _ _  _ _ _  _ _ _  _ _ _ <B>operator</B><P>
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 <P> <H3> 
syntax: </H3>
<em>jordan_block</em>(&lt;expr&gt;,&lt;square\_size&gt;) 
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&lt;expr&gt; :- an algebraic expression or symbol. 
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&lt;square\_size&gt; :- a positive integer. 
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<em>jordan_block</em>computes the square jordan block matrix J of 
dimension &lt;square\_size&gt;. 
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The entries of J are: 
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J(i,i) = &lt;expr&gt; for i=1 
 ... n, J(i,i+1) = 1 for i=1 
 ... n-1, and all other entries are 0. 
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 <P> <H3> 
examples: </H3>
<P><PRE><TT>

jordan_block(x,5); 

  [x  1  0  0  0]
  [             ]
  [0  x  1  0  0]
  [             ]
  [0  0  x  1  0]
  [             ]
  [0  0  0  x  1]
  [             ]
  [0  0  0  0  x]

</TT></PRE><P>Related functions: 
<A HREF=r37_0586.html>diagonal</A>, 
<A HREF=r37_0584.html>companion</A>. 
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