Matrix Echelon Form

Convert Matrix into Echelon Form

Java Program

Code:

import java.util.Scanner;

public class echo {

    static int Count;

    public static  void rowSwap(double[][] a)

    {

       

        if (a[0][ 0] == 0)

        {

            Count++;

            double[] primaryRow = new double[a.length];

            for (int i = 0; i < a.length; i++)

            {

                primaryRow[i] = a[0][ i];

            }

            for (int j = 0; j < a.length; j++)

            {

                int i = 1;

                for (i=1; i < a.length; i++)

                {

                    if (a[i][j] != 0)

                    {

                        for (int m = 0; m < primaryRow.length; m++)

                        {

                            a[0][ m] = a[i][m];

                            a[i][ m] = primaryRow[m];

                        }

                        break;

                    }

                }

                if (i != a.length)

                {

                    break;

                }

            }

        }

        rowOperations(a);

           for (int i =0; i <a.length; i++) {

                for (int j = 0; j <a.length; j++) {

                System.out.print(" " + a[i][j]);

                }

                System.out.println("");

                }

        }

     private static  void rowOperations(double[][] a)

        {

            double Variable = 0;

            for (int i = 0, j = 0; i < a.length - 1; )

            {

                if (j == 0)

                {

                    while (j < a.length && a[i][ j] == 0)

                    {

                        j++;

                    }

                }

                if (j == a.length)

                {

                    i++;

                    j = 0;

                }

                else

                {

                    for (int l = i + 1; l < a.length; l++)

                    {

                        for (int m = 0; m < a.length; m++)

                        {

                            if (m == 0)

                            {

                                Variable = ((1 / a[i][ j]) * a[l][ j]);

                                if ((Variable * a[i][ j] > 0 && a[l][ j] > 0)|| (Variable * a[i][ j] < 0 && a[l][ j] < 0))

                                    Variable = Variable * (-1);

                            }

                            a[l][ m] = Math.round(Variable * a[i][ m] + a[l][ m]);

                        

                        }

                    }

                    i++;

                    j = 0;

                }

            }

        }

       

public static void main(String [] args){

    Scanner input = new Scanner(System.in);     

    System.out.println("Enter the number of rows ");     

    int x = input.nextInt(); 

    System.out.print("Enter the number of columns ");     

     int y = input.nextInt();     

     

     double[][]a  =  new double [x][y]; 

 

    System.out.println( "Enter " + a.length + " rows and " + a[0].length + " columns: "); 

                for (int f = 0; f < a.length; f++)  

                    for (int g = 0; g < a[f].length; g++) 

                    a[f][g] = input.nextDouble();

                rowSwap(a);

}}

Program Screenshot: