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