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  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[10][11], x[10];
  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.     // Forward Elimination (Upper Triangular Form)
  20.     for(int k=0; k<n-1; k++) {
  21.         for(int i=k+1; i<n; i++) {
  22.             double ratio = A[i][k]/A[k][k];
  23.             for(int j=k; j<=n; j++) {
  24.                 A[i][j] -= ratio * A[k][j];
  25.             }
  26.         }
  27.     }
  28.  
  29.     // Backward 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] = x[i]/A[i][i];
  36.     }
  37.  
  38.     // Print Solution
  39.     cout << "\nThe solution is:\n";
  40.     cout << fixed << setprecision(6);
  41.     for(int i=0; i<n; i++) {
  42.         cout << "x" << i+1 << " = " << x[i] << endl;
  43.     }
  44.  
  45.     return 0;
  46. }
  47.  
Success #stdin #stdout 0.01s 5288KB
comments (?)
stdin
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3
3 6 -9 15
2 4 -6 10
-2 -3 4 -6
stdout
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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/3bk5fe
language:
C++ (gcc 8.3)
created:
9 days ago
visibility:
public

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