GaussElimination_method.c.txt

//Gauss Elimination Method

#include<stdio.h>
int main()
{
    int i,j,k,n;
    float A[20][20],ratio,x[10],sum=0;
    printf("Enter the order of the matrix:");
    scanf("%d",&n);
    printf("\nEnter the elements of the augmented matrix:");
    for(i=1; i<=n; i++)
    {
        for(j=1;j<=(n+1);j++)
        {
            printf("A[%d][%d]=",i,j);
            scanf("%f",&A[i][j]);
        }
    }
    for(j=1;j<=n;j++)
    {
        for(i=1;i<=n;i++)
        {
            if(i>j)
            {
                ratio=A[i][j]/A[j][j];
                for(k=1;k<=n+1;k++)
                {
                    A[i][k]=A[i][k]-ratio*A[j][k];
                }
            }
        }
    }
    x[n]=A[n][n+1]/A[n][n];
    for(i=n-1;i>=1;i--)
    {
        sum=0;
        for(j=i+1;j<=n;j++)
        {
            sum=sum+A[i][j]*x[j];
        }
        x[i]=(A[i][n+1]-sum)/A[i][i];
    }
    printf("\nSolution:");
    for(i=1;i<=n;i++)
    {
        printf("\nx%d=%f\t",i,x[i]);
    }
����return(0);
}