[C/C++] Zeiger auf mehrdimensionale array ?

#include <iostream>

using namespace std;

class Matrix
{
 private:
 
 int matrix[2][2];
 int row1;
 int row2;
 int column1;
 int column2;
 int counter1;
 int counter2;
 
 int *pointer1 ;
 int *pointer2 ;
 int *pointer3 ;
 int *pointer4 ;

 public:
 
 Matrix ();
 void ShowMessage ();
 int FillMatrix( ); // Werte Einrag in die Schleife durch Usereingabe
 void ShowMatrix ( ); // Auslesen und Wiedergabe der Matrix
 void CalcMatrixRow ( ); // Addition der Zeilen
 void CalcMatrixColumn ( ); // Addition der Spalten
};

#include "Matrix.h"

Matrix::Matrix()
{
 row1= 0;
 row2= 0;
 column1 = 0;
 column2 = 0;
 counter1 = 0;
 counter2 = 0;
 pointer1 = &matrix[0][0]; // zeiger auf matrix [0][0]
 pointer2 = &matrix[0][1];
 pointer3 = &matrix[1][0];
 pointer4 = &matrix[1][1];
}



void Matrix::ShowMessage()
{
 cout << "\t|===================================================================|" << endl;
 cout << "\t|Diese Programm erstellt mittels ihrer Eingabe eine 2 X 2 Matrix, |" << endl; 
 cout << "\t|desweiteren werden die Zeilen und die Spalten ihrer Matrix addiert,|" << endl;
 cout << "\t|davor wird jedoch Ihre erstellte 2 X 2 Matrix ausgeben. |" << endl;
 cout << "\t|===================================================================|" << endl;
}

[B]int Matrix::FillMatrix( )
{
 for (counter1 = 0; counter1 < 2 ; counter1++)
 {
 for (counter2 = 0; counter2 < 2 ; counter2++)
 {
 cout << "Geben Sie den Wert von " << counter1 + 1 << " " << counter2 + 1 << " an: ";
 cin >>[COLOR=Red] matrix[counter1][counter2];[/COLOR]
 
 }
 
 }
 return 0;
}[/B]

[B]
void Matrix::ShowMatrix()
{
 cout << "Ihre 2 X 2 Matrix hat die folgenden Werte: "<<endl;
 
{
 for (counter1 = 0; counter1 < 2 ; counter1++)
 { cout << endl;
 for (counter2 = 0; counter2 < 2 ; counter2++)
 {
 
 cout << "\t" << [COLOR=Red]matrix[counter1][counter2][/COLOR];
 
 }
 cout << endl << endl;
 }
 
}

}[/B]

void Matrix::CalcMatrixRow ( )
{
 row1 = *pointer1 + *pointer2; // pointer1 = matrix [0][0] ; pointer2 = matrix [0][1]
 row2 = *pointer3 + *pointer4; // pointer3 = matrix[1][0]

 cout << "\nAddition der Zeilen ergibt: \n\n\t" << row1 << "\n\t" << row2 << endl << endl;
}

void Matrix::CalcMatrixColumn ()
{
 column1 = *pointer1 + *pointer3; //pointer3 = matrix [1][0]
 column2 = *pointer2 + *pointer4; // pointer2 = matrix[0][1] ; pointer4 = matrix[1][1]

 cout << "Addition der Spalten ergibt: \n\n\t" << column1 << "\t" << column2 << endl << endl;


}

#include "Matrix.h"

int main ()
{
 Matrix Obj1;
 Obj1.ShowMessage();
 Obj1.FillMatrix();
 Obj1.ShowMatrix();
 Obj1.CalcMatrixRow();
 Obj1.CalcMatrixColumn();

 return 0;
}