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<p>&nbsp;<p>
<hr noshade size="5">
<h2><a name="MatSmith"></a>
MatSmith
</h2>

missing shortdoc

<p><p>

<h3>
Syntax:
</h3>
<pre>L := MatSmith(M);</pre>

<p>

<table>
<tr>
<td>list</td>
<td><pre>  L  </pre></td>
<td></td>
</tr>
<tr>
<td>matrix</td>
<td><pre>  M  </pre></td>
<td></td>
</tr>
</table>

<p>


<h3>
Description:
</h3>
Computes the Smith normal form and the rank of the integer
matrix <tt> M</tt>. The result is a list <tt> L</tt> which contains the
rank and the Smith normal form <tt> S</tt> of <tt> M</tt>.

<p><p>

<p>
<hr>
<p>
<h3>
Example:
</h3>
Compute the Smith normal form of
\left(\begin{array}{ccc} 4 & 6 & 2 3 & 9 & 12
\end{array}right). 
<pre>

kash> M := Mat(Z,[[4,6,2],[3,9,12]]);
[ 4  6  2]
[ 3  9 12]
kash> L := MatSmith(M);;
kash> rank := L[1];
2
kash> S := L[2];
> [1 0 0]
[0 6 0]

</pre>

<p>


<hr>

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