# Numerical Methods: Solution of simultaneous algebraic equations using Gauss Elimination method in C

Source Code:

#include<stdio.h>
int main()
{
double matrix[10][10],a,b, temp[10];
int  i, j, k, n;
printf("Enter the no of variables: ");
scanf("%d", &n);
printf("Enter the agumented matrix:\n");
for(i = 0; i < n ; i++){
for(j = 0; j < (n+1); j++){
scanf("%lf", &matrix[i][j]);
}
}
for(i = 0; i < n; i++){
for(j = 0; j < n; j++){
if(j>i){
a = matrix[j][i];
b = matrix[i][i];
for(k = 0; k < n+1; k++){
matrix[j][k] = matrix[j][k] - (a/b) * matrix[i][k];
}
}
}
}
printf("The Upper triangular matrix is: \n");
for( i = 0; i < n; i++){
for(j = 0; j < n+1; j++){
printf("%.2f", matrix[i][j]);
printf("\t");
}
printf("\n");
}
printf("\nThe required result is: ");
for(i = n-1; i>=0; i--){
b = matrix[i][n];
for(j = n-1 ; j > i; j--){
b -= temp[n-j]*matrix[i][j];
}
temp[n-i] = b/matrix[i][i];
printf("\n%c => %.2f",97+i, temp[n-i]);
}
}

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