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

Computes the determinant of a square matrix.

<p><p>

<h3>
Syntax:
</h3>
<pre>d := MatDet(M);d := MatDet(M, bound);</pre>

<p>

<table>
<tr>
<td>element of the ring the matrix entries come from</td>
<td><pre>  d  </pre></td>
<td></td>
</tr>
<tr>
<td>matrix</td>
<td><pre>  M  </pre></td>
<td></td>
</tr>
</table>

<p>


<h3>
Description:
</h3>
If <tt> bound</tt> is given and M is over an absolute numberfield
we use an modular algorithm. If <tt> bound</tt><=0 we will compute
a suitable <tt> bound</tt>.

<p><p>

<p>
<hr>
<p>
<h3>
Example:
</h3>
Compute the determinant of the integer matrix
\left(\begin{array}{cc} -1 & 5 6 & -1 \end{array}right). 
<pre>

kash> M := Mat(Z,[[-1,5],[6,-1]]);
[-1  5]
[ 6 -1]
kash> MatDet(M);
> -29

</pre>

<p>


<hr>

<p>
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