using System;
using System.Collections.Generic;
using System.Linq;
using System.Text;
using L = Science.Mathematics.LinearAlgebra;

namespace Strang3Ed.Chapter03.Section5
{
    public class Example09
    {
        public Example09()
        {
        }
        private string result;
        public string Result
        {
            get { return result; }
        }
        public void Compute()
        {
            double[,] x = { { 1.0, 2.0, 0.0, 3.0}, 
                            { 0.0, 0.0, 1.0, 4.0},
                            { 0.0, 0.0, 0.0, 0.0}};

            L.Matrix A = new L.Matrix(x);

            L.ColumnSpace C = new L.ColumnSpace(A);

            foreach (L.Vector v in C.Basis)
                result += v.ToString() + "\r\n";

            L.RowSpace R = new L.RowSpace(A);

            foreach (L.Vector v in R.Basis)
                result += v.ToString() + "\r\n";
        }
    }
}
/*
1
0
0

0
1
0

1
2
0
3

0
0
1
4
*/