#include<iostream.h>
#include<math.h>
void main()
{
float x[10],y[10],a[10][10];
int i,j,n,k,iteration;
cout<<"\nEnter the order of the matrix.......=";
cin>>n;
cout<<"\nEnter the co-efficents and RHS of the matrix=\n";
for(i=1;i<=n;i++)
{
for(j=1;j<=n+1;j++)
{
cin>>a[i][j];
}
}
cout<<"\nYOUR MATRIX IS\n";
for(i=1;i<=n;i++)
{
for(j=1;j<=n+1;j++)
{
cout<<"\t"<<a[i][j];
}
cout<<"\n";
}
cout<<"\nTHIS IS THE FOLLOWING ITERATION\n";
for(i=1;i<=n;i++)
{
x[i]=0.0;
y[i]=0.0;
}
iteration=0;
step1: iteration++;
for(i=1;i<=n;i++)
{
x[i]=a[i][n+1];
for(j=1;j<=n;j++)
{
if(i==j)
continue;
x[i]=x[i]-a[i][j]*x[j];
}
x[i]=x[i]/a[i][i];
}
for(k=1;k<=n;k++)
{
if( fabs(x[k]-y[k])> 0.00005)
{
cout<<"\n\nIteration="<<iteration;
for(i=1;i<=n;i++)
{
y[i]=x[i];
cout<<"\nx["<<i<<"]="<<x[i];
}
goto step1;
}
}
cout<<"\nThis is the final value";
}
#include<math.h>
void main()
{
float x[10],y[10],a[10][10];
int i,j,n,k,iteration;
cout<<"\nEnter the order of the matrix.......=";
cin>>n;
cout<<"\nEnter the co-efficents and RHS of the matrix=\n";
for(i=1;i<=n;i++)
{
for(j=1;j<=n+1;j++)
{
cin>>a[i][j];
}
}
cout<<"\nYOUR MATRIX IS\n";
for(i=1;i<=n;i++)
{
for(j=1;j<=n+1;j++)
{
cout<<"\t"<<a[i][j];
}
cout<<"\n";
}
cout<<"\nTHIS IS THE FOLLOWING ITERATION\n";
for(i=1;i<=n;i++)
{
x[i]=0.0;
y[i]=0.0;
}
iteration=0;
step1: iteration++;
for(i=1;i<=n;i++)
{
x[i]=a[i][n+1];
for(j=1;j<=n;j++)
{
if(i==j)
continue;
x[i]=x[i]-a[i][j]*x[j];
}
x[i]=x[i]/a[i][i];
}
for(k=1;k<=n;k++)
{
if( fabs(x[k]-y[k])> 0.00005)
{
cout<<"\n\nIteration="<<iteration;
for(i=1;i<=n;i++)
{
y[i]=x[i];
cout<<"\nx["<<i<<"]="<<x[i];
}
goto step1;
}
}
cout<<"\nThis is the final value";
}
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