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

namespace Strang3Ed.Chapter05.Section2
{
    public class ExampleB
    {
        public ExampleB()
        {
        }
        private string result;
        public string Result
        {
            get { return result; }
        }
        public void Compute()
        {
            double[,] x = {{0.0,0.0,1.0},
                           {0.0,2.0,3.0},
                           {4.0,5.0,6.0}};

            L.Matrix A = new L.Matrix(x);
            result += A.Determinant.ToString() + "\r\n";
            result += A.ToString() + "  ";

            for (int i = 0; i < A.SizeOfRow; i++)
                for (int j = 0; j < A.SizeOfRow; j++)
                    A[i, j] = (i+1.0)/(j+1.0) * A[i, j];
            result += A.Determinant.ToString() + "\r\n";
            result += A.ToString() + "  ";
        }
    }
}
/*
-8
0     0     1     
0     2     3     
4     5     6     

  -8
0     0     0.333333333333333     
0     2     2     
12     7.5     6  
*/