Wednesday, 23 April 2014

Program to solve simultaneous equation using by Guess Jordan method

#include<stdio.h>
#include<conio.h>
#include<math.h>

int main()
{
int n,i,j,k;
float a[10][10],x[10],u;
//clrscr();
printf("enter the number of equations :");
scanf("%d",&n);
printf("\nenter the co-efficients of equations\n");
for(i=1;i<=n;i++)
 for(j=1;j<=(n+1);j++)
  scanf("%f",&a[i][j]);
printf("\nentered co-efficient matrix is\n");
for(i=1;i<=n;i++)
{
 for(j=1;j<=(n+1);j++)
  printf("%.2f\t",a[i][j]);
 printf("\n");
}
    //Diagonalisation Steps//
for(k=1;k<=n;k++)
  for(i=1;i<=n;i++)
  {
    if(i != k)
    {
      u=a[i][k]/a[k][k];
      for(j=1;j<=(n+1);j++)
      a[i][j]=a[i][j]-(u*a[k][j]);
    }
  }
  printf("\nDiagonalised matrix is\n");
  for(i=1;i<=n;i++)
  {
    for(j=1;j<=(n+1);j++)
      printf("%.2f\t",a[i][j]);
    printf("\n");
  }
     //End Diagonalisation Steps//

     //Forward Substitution Steps //
  x[n]=a[n][n+1]/a[n][n];
  for(i=1;i<=n;i++)
    x[i]=(a[i][n+1])/a[i][i];
  printf("\nsolution vector is\n");
  for(i=1;i<=n;i++)
    printf("x[%d]=%.2f\n",i,x[i]);
  getch();

}

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