inverse

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inverse

$\begin{usage} inverse~a \end{usage}$

Signature

inverse: M $\to$ (M, Vector R)

$\begin{params} {\em a} & M & A matrix\\ \end{params}$

$\begin{retval} Returns $(b, [d_1,\dots,d_n])$\ such that \begin{displaymath} a ... ..._2 & & \cr & & \ddots & \cr & & & d_n \cr }\,. \end{displaymath} \end{retval}$

$\begin{remarks} $\prod_{i=1}^n d_i \ne 0$\ if and only if $a$\ is invertible. I... ...$R$\ is a \htmlref{\texttt{Field}}{Field} and $a$\ is invertible. \end{remarks}$

Manuel Bronstein 2000-12-13