[c++] How to implement 2D vector array?

I use this piece of code . works fine for me .copy it and run on your computer. you'll understand by yourself .

#include <iostream>
#include <vector>
using namespace std;
int main()
{
    vector <vector <int> > matrix;
    size_t row=3 , col=3 ;
    for(int i=0,cnt=1 ; i<row ; i++)
    {
        for(int j=0 ; j<col ; j++)
        {
            vector <int> colVector ;
            matrix.push_back(colVector) ;
            matrix.at(i).push_back(cnt++) ;
        }
    }
    matrix.at(1).at(1) = 0;     //matrix.at(columns).at(rows) = intValue 
    //printing all elements
    for(int i=0,cnt=1 ; i<row ; i++)
    {
        for(int j=0 ; j<col ; j++)
        {
            cout<<matrix[i][j] <<" " ;
        }
        cout<<endl ;
    }
}