Matrix Overload C++ - c++

Question

In the header file I am suppose to add the declaration of functions which I need to overload operators. Then implement the functions I added into the header file.
Can any one help me with what I am suppose to do? Please explain so I can wrap my head around overloading if possible.
I have listed the code below. As for main I am not suppose to edit it.
Header File
Matrix.h
#ifndef MATRIX_H
#define MATRIX_H
class Matrix
{
public:
Matrix (int sizeX, int sizeY);
~Matrix();
int GetSizeX() const { return dx; }
int GetSizeY() const { return dy; }
long &Element(int x, int y); // return reference to an element
void Print () const;
private:
long **p; // pointer to a pointer to a long integer
int dx, dy;
};
#endif /* MATRIX_H */
Matrix.cpp File
#include <iostream>
#include <cassert>
#include "Matrix.h"
using namespace std;
Matrix::Matrix (int sizeX, int sizeY) : dx(sizeX), dy(sizeY)
{
assert(sizeX > 0 && sizeY > 0);
p = new long*[dx];
// create array of pointers to long integers
assert(p != 0);
for (int i = 0; i < dx; i++)
{ // for each pointer, create array of long integers
p[i] = new long[dy];
assert(p[i] != 0);
for (int j = 0; j < dy; j++)
p[i][j] = 0;
}
}
Matrix::~Matrix()
{
for (int i = 0; i < dx; i++)
delete [] p[i]; // delete arrays of long integers
delete [] p; // delete array of pointers to long
}
long &Matrix::Element(int x, int y)
{
assert(x >= 0 && x < dx && y >= 0 && y < dy);
return p[x][y];
}
void Matrix::Print () const
{
cout << endl;
for (int x = 0; x < dx; x++)
{
for (int y = 0; y < dy; y++)
cout << p[x][y] << "\t";
cout << endl;
}
}
main.cpp
#include <cstdlib>
#include <iostream>
#include <cassert>
#include <ctime>
#include "Matrix.h"
using namespace std;
int main(int argc, char** argv) {
int size1, size2, size3;
const int RANGE = 5; //using to generate random number in the range[1,6]
cout << "Please input three positive integers: (size)";
cin >> size1 >> size2 >> size3;
assert(size1 > 0 && size2 > 0 && size3 > 0);
Matrix myMatrix1(size1, size2), myMatrix2(size2,size3);
Matrix yourMatrix1(size1, size2), yourMatrix2(size2, size3);
Matrix theirMatrix1(size1, size2), theirMatrix2(size1, size3);
srand(time(0));
for (int i = 0; i < size1; i++)
for (int j = 0; j < size2; j++)
myMatrix1(i,j) = rand() % RANGE + 1;
yourMatrix1 = 2 * myMatrix1;
theirMatrix1 = myMatrix1 + yourMatrix1;
cout << "myMatrix1: " << endl;
cout << myMatrix1 << endl << endl;
cout << "yourMatrix1 = 2 * myMatrix " << endl;
cout << yourMatrix1 << endl << endl;
cout << "myMatrix1 + yourMatrix1: " << endl;
cout << theirMatrix1 << endl << endl;
for (int i = 0; i < size2; i++)
for (int j = 0; j < size3; j++)
myMatrix2(i,j) = rand() % RANGE + 1;
yourMatrix2 = myMatrix2 * 3;
theirMatrix2 = myMatrix1 * yourMatrix2;
cout << "myMatrix1: " << endl;
cout << myMatrix1 << endl << endl;
cout << "myMatrix2: " << endl;
cout << myMatrix2 << endl << endl;
cout << "yourMatrix2 = myMatrix2 * 3 " << endl;
cout << yourMatrix2 << endl << endl;
cout << "myMatrix1 * yourMatrix2: " << endl;
cout << theirMatrix2 << endl << endl;
return 0;
}

Answer 1

You need to look into the main and see what all operators are used with the Matrix objects. You have to overload those operators into the Matrix class given to you i.e. write member functions into this class.
Refer following link for details on operator overloading with examples:
http://en.wikibooks.org/wiki/C%2B%2B_Programming/Operators/Operator_Overloading