Gaussian Elimination

This implements the Gaussian elimination algorithm in PureScript, and can be used for solving systems of linear equations.

Usage

Let's say you have the following system of linear equations:

x      - z = 0
x  + y     = 1
-x + y + z = 4

Filling in the coefficients and the constant results in the following augmented matrix:

let m = Matrix
 [ [  1.0, 0.0, -1.0, 0.0 ]
 , [  1.0, 1.0,  0.0, 1.0 ]
 , [ -1.0, 1.0,  1.0, 4.0 ]
 ]

Pass this to the gauss function defined in Data.Gaussian, and the result will be:

> gauss m
[ -1.0, 4.0, -1.0 ]

wrapped in an Either.