determinant

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determinant

$\begin{usage} determinant~a\\ determinant(a, d)\\ determinant(a, d, n) \end{usage}$

$\begin{signatures} determinant: & M $\to$\ RX\\ determinant: & (M, RX) $\to$\... ...: & (M, RX, \htmlref{\texttt{Integer}}{Integer}) $\to$\ RX\\\end{signatures}$

$\begin{params} {\em a} & M & A matrix\\ {\em d} & RX & A known factor of $\ve... ...{Integer} & A known degree bound on $\vert a\vert$\ (optional)\\\end{params}$

$\begin{retval} All calls to determinant return the determinant of $a$. \end{retval}$

$\begin{remarks} The extra parameters $d$\ and $n$\ are optional. If they are pr... ...\ exactly, and $n$\ must be such that $\deg \vert a\vert \le n$. \end{remarks}$

Manuel Bronstein 2000-12-13