Problem Statement

Show how to compute the reduced row echelon form (a.k.a. row canonical form) of a matrix. The matrix can be stored in any datatype that is convenient (for most languages, this will probably be a two-dimensional array). Built-in functions or this pseudocode (from Wikipedia) may be used: For testing purposes, the RREF of this matrix: is:

Let's start with the solution:

import "/matrix" for Matrix
import "/fmt" for Fmt

var m = Matrix.new([
    [ 1,  2,  -1,  -4],
    [ 2,  3,  -1, -11],
    [-2,  0,  -3,  22]
])

System.print("Original:\n")
Fmt.mprint(m, 3, 0)
System.print("\nRREF:\n")
m.toReducedRowEchelonForm
Fmt.mprint(m, 3, 0)