[c++] Vector of Vectors to create matrix

I did this class for that purpose. it produces a variable size matrix ( expandable) when more items are added

'''

#pragma once
#include<vector>
#include<iostream>
#include<iomanip>
using namespace std;
template <class T>class Matrix
{
public:
    Matrix() = default;
    bool AddItem(unsigned r, unsigned c, T value)
    {
        if (r >= Rows_count)
        {
            Rows.resize(r + 1);
            Rows_count = r + 1;
        }
        else
        {
            Rows.resize(Rows_count);
        }
        if (c >= Columns_Count )
        {
            for (std::vector<T>& row : Rows)
            {
                row.resize(c + 1);
            }
            Columns_Count = c + 1;
        }
        else
        {
            for (std::vector<T>& row : Rows)
            {
                row.resize(Columns_Count);
            }
        }
        if (r < Rows.size())
            if (c < static_cast<std::vector<T>>(Rows.at(r)).size())
            {
                (Rows.at(r)).at(c) = value;
            }
            else
            {
                cout << Rows.at(r).size() << " greater than " << c << endl;
            }
        else
            cout << "ERROR" << endl;
        return true;
    }
    void Show()
    {
        std::cout << "*****************"<<std::endl;
        for (std::vector<T> r : Rows)
        {
            for (auto& c : r)
                std::cout << " " <<setw(5)<< c;
            std::cout << std::endl;
        }
        std::cout << "*****************" << std::endl;
    }
    void Show(size_t n)
    {
        std::cout << "*****************" << std::endl;
        for (std::vector<T> r : Rows)
        {
            for (auto& c : r)
                std::cout << " " << setw(n) << c;
            std::cout << std::endl;
        }
        std::cout << "*****************" << std::endl;
    }
//  ~Matrix();
public:
    std::vector<std::vector<T>> Rows;
    unsigned Rows_count;
    unsigned Columns_Count;
};

'''

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