/*************** Gauss Jordan method ********************/
#include<iostream.h>
#include<conio.h>
int main()
{
int i,j,k,n;
float a[10][10],d;
clrscr();
cout<<"No of equations ? ";cin>>n;
cout<<"Read all coefficients of matrix with b matrix too "<<endl;
for(i=1;i<=n;i++) // read nxn matrix - cofficients
for(j=1;j<=n+1;j++)
cin>>a[i][j];
/************** partial pivoting **************/
for(i=n;i>1;i--)
{
if(a[i-1][1]<a[i][1])
for(j=1;j<=n+1;j++)
{
d=a[i][j];
a[i][j]=a[i-1][j];
a[i-1][j]=d;
}
}
cout<<"pivoted output: "<<endl;
for(i=1;i<=n;i++)
{
for(j=1;j<=n+1;j++)
cout<<a[i][j]<<" ";
cout<<endl;
}
/********** reducing to diagonal matrix ***********/
for(i=1;i<=n;i++)
{
for(j=1;j<=n;j++)
if(j!=i)
{
d=a[j][i]/a[i][i];
for(k=1;k<=n+1;k++)
a[j][k]-=a[i][k]*d;
}
}
/************** reducing to unit matrix *************/
for(i=1;i<=n;i++)
{
d=a[i][i];
for(j=1;j<=n+1;j++)
a[i][j]=a[i][j]/d;
}
cout<<"your solutions: "<<endl;
for(i=1;i<=n;i++)
{
for(j=1;j<=n+1;j++)
cout<<a[i][j]<<" ";
cout<<endl;
}
getch();
return 0;
}
C C++ CODE: Gauss Jordon elimination method to solving linear equations
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