fork download
copy 
  1. #include<iostream>
  2. #include<iomanip>
  3. using namespace std;
  4.  
  5. int main() {
  6.     int n;
  7.     cout << "Enter the order of square matrix: ";
  8.     cin >> n;
  9.  
  10.     double A[20][20], x[20];
  11.  
  12.     cout << "Enter the elements of augmented matrix row-wise:\n";
  13.     for(int i = 0; i < n; i++) {
  14.         for(int j = 0; j <= n; j++) {
  15.             cin >> A[i][j];
  16.         }
  17.     }
  18.  
  19.     // Gaussian Elimination (Forward Elimination)
  20.     for(int j = 0; j < n; j++) {
  21.         for(int i = j+1; i < n; i++) {
  22.             double ratio = A[i][j] / A[j][j];
  23.             for(int k = 0; k <= n; k++) {
  24.                 A[i][k] -= ratio * A[j][k];
  25.             }
  26.         }
  27.     }
  28.  
  29.     // Back Substitution
  30.     for(int i = n-1; i >= 0; i--) {
  31.         x[i] = A[i][n];
  32.         for(int j = i+1; j < n; j++) {
  33.             x[i] -= A[i][j] * x[j];
  34.         }
  35.         x[i] /= A[i][i];
  36.     }
  37.  
  38.     // Output the solution
  39.     cout << fixed << setprecision(6);
  40.     cout << "The solution is:\n";
  41.     for(int i = 0; i < n; i++) {
  42.         cout << "x" << i+1 << " = " << x[i] << endl;
  43.     }
  44.  
  45.     return 0;
  46. }
Success #stdin #stdout 0.01s 5288KB
comments (?)
stdin
copy 
3
3
6
-9
15
2
4
-6
10
-2
-3
4
-6
stdout
copy 
Enter the order of square matrix: Enter the elements of augmented matrix row-wise:
The solution is:
x1 = -nan
x2 = -nan
x3 = -nan
https://ideone.com/vBatQt
language:
C++ (gcc 8.3)
created:
8 days ago
visibility:
public

Share or Embed source code

Discover > Sphere Engine API

The brand new service which powers Ideone!

Discover > IDE Widget

Widget for compiling and running the source code in a web browser!