Write a C/C++ program that implements (Do not use pivot condensation) Gaussian elimination
method for solving n linear equations in n variables, that calls procedures (5)
(i) Exchange of rows
(ii) lower-triangularisation and
(iii) back substitutions
 (Codes of procedures are also to be written)

```cpp
#include <iostream>
#include <vector>
#include <cmath>

using namespace std;

void exchangeRows(vector<vector<double>>& matrix, int row1, int row2) {
    // Swap two rows in the matrix
    for (int i = 0; i < matrix[row1].size(); i++) {
        swap(matrix[row1][i], matrix[row2][i]);
    }
}

void lowerTriangularization(vector<vector<double>>& matrix, int n) {
    // Convert the matrix to upper triangular form
    for (int i = 0; i < n; i++) {
        // Make the pivot element non-zero
        if (matrix[i][i] == 0) {
            for (int j = i + 1; j < n; j++) {
                if (matrix[j][i] != 0) {
                    exchangeRows(matrix, i, j);
                    break;
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