solve

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solve

$\begin{usage} solve(a, b) \end{usage}$

Signature

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

$\begin{params} {\em a, b} & M & Matrices\\ \end{params}$

$\begin{retval} Returns $(w, m, [d_1,\dots,d_n])$\ such that the columns of $w$\... ..._2 & & \cr & & \ddots & \cr & & & d_n \cr }\,. \end{displaymath} \end{retval}$

$\begin{remarks} For each $i$, $d_i \ne 0$\ if and only if the system $a x = {i}... ..._j r_j w_j$\ where $w_j$\ is the ${j}^{{\rm th}}$\ column of $w$. \end{remarks}$

See Also

kernel,particularSolution

Manuel Bronstein 2000-12-13