Upper Triangular Matrix Convert – C++

				
					#include <iostream>
#include <vector>

using namespace std;

void convertToUpperTriangular(vector<vector<double>>& matrix) {
    int n = matrix.size();

    for (int i = 0; i < n - 1; i++) {
        for (int k = i + 1; k < n; k++) {
            double factor = matrix[k][i] / matrix[i][i];

            for (int j = i; j < n; j++) {
                matrix[k][j] -= factor * matrix[i][j];
            }
        }
    }
}

int main() {
    int n;
    cout << "Enter the size of the matrix: ";
    cin >> n;

    vector<vector<double>> matrix(n, vector<double>(n));

    cout << "Enter the matrix elements row by row:\n";
    for (int i = 0; i < n; i++) {
        for (int j = 0; j < n; j++) {
            cin >> matrix[i][j];
        }
    }

    convertToUpperTriangular(matrix);

    cout << "Upper Triangular Matrix:\n";
    for (int i = 0; i < n; i++) {
        for (int j = 0; j < n; j++) {
            cout << matrix[i][j] << " ";
        }
        cout << endl;
    }

    return 0;
}