Difference between revisions of "Directory:Derek Elder/Programs/MyMatrix"

MyWikiBiz, Author Your Legacy — Saturday November 23, 2024
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(Correct space)
 
(Template program added)
 
Line 464: Line 464:
 
cout<<"\n\nHit enter to exit the program: "<<flush;
 
cout<<"\n\nHit enter to exit the program: "<<flush;
 
cin.get();*/
 
cin.get();*/
 +
}
 +
</pre>
 +
 +
=With Templates=
 +
==MyMatrix.h==
 +
<pre>
 +
#pragma once
 +
#include <iostream>
 +
using namespace std;
 +
 +
template <class T>
 +
class MyMatrix
 +
{
 +
public:
 +
MyMatrix();
 +
MyMatrix(const MyMatrix<T>& m);
 +
MyMatrix(int rows, int columns);
 +
~MyMatrix();
 +
MyMatrix operator+(const MyMatrix<T>& m2) const;
 +
MyMatrix operator-(const MyMatrix<T>& m2) const;
 +
MyMatrix operator=(const MyMatrix<T>& m);
 +
T* operator[](int i);
 +
T* operator[](int i) const;
 +
double getDeterminant(MyMatrix<T>& m);
 +
void Read(istream& is);
 +
void Write(ostream& os) const;
 +
private:
 +
T **m_dpp;
 +
int m_rows;
 +
int m_columns;
 +
};
 +
template <class T>
 +
istream& operator>>(istream& is, MyMatrix<T>& m);
 +
template <class T>
 +
ostream& operator<<(ostream& os, const MyMatrix<T>& m);
 +
 +
template <class T>
 +
double MyMatrix<T>::getDeterminant(MyMatrix<T>& m)
 +
{
 +
int r, c;
 +
r = m.m_rows;
 +
c = m.m_columns;
 +
 +
double determinant = 0.0;
 +
 +
if(r == c)
 +
{
 +
if(r < 1)
 +
{
 +
cout<<"Less than one row and/or column";
 +
exit(1);
 +
}
 +
else if(r == 1)
 +
{
 +
return m[0][0];
 +
}
 +
else if(r == 2)
 +
{
 +
//cout<<"The determinant is: "<<((m[0][0]*m[1][1]) - (m[0][1]*m[1][0]));
 +
determinant = ((m[0][0]*m[1][1]) - (m[1][0]*m[0][1]));
 +
return determinant;
 +
}
 +
else
 +
{
 +
for(int columns = 0; columns < m.m_columns; columns++)
 +
{
 +
MyMatrix m2((m.m_rows-1),(m.m_columns-1));
 +
 +
for(int subRows = 1; subRows < m.m_rows; subRows++)
 +
{
 +
int subColumns = 0;
 +
 +
for(int i = 0; i < m.m_columns; i++)
 +
{
 +
if(i != columns)
 +
{
 +
m2[(subRows-1)][subColumns] = m[subRows][i];
 +
subColumns++;
 +
}
 +
}
 +
}
 +
determinant = determinant + ((m[0][columns])*(pow(float(-1),float(columns)))*(m2.getDeterminant(m2)));
 +
}
 +
}
 +
return determinant;
 +
}
 +
else
 +
{
 +
cout<<"Error, the matrix is uneven, cannot determine the matrix, exiting program.";
 +
exit(1);
 +
}
 +
}
 +
template <class T>
 +
MyMatrix<T>::MyMatrix()
 +
{
 +
m_rows = 0;
 +
m_columns = 0;
 +
m_dpp = NULL;
 +
}
 +
template <class T>
 +
MyMatrix<T>::MyMatrix(int rows, int columns)
 +
{
 +
int i, j;
 +
T *dp;
 +
 +
this->m_rows = rows;
 +
this->m_columns = columns;
 +
dp = new T[m_rows*m_columns];
 +
m_dpp = new T*[m_rows];
 +
 +
for(i = 0;i < m_rows;i++)
 +
m_dpp[i] = dp+(i * m_columns);
 +
for(i = 0;i < m_rows;i++)
 +
for(j = 0;j < m_columns;j++)
 +
m_dpp[i][j] = 0;
 +
}
 +
template <class T>
 +
MyMatrix<T>::MyMatrix(const MyMatrix<T>& m)
 +
{
 +
int i, j;
 +
T *dp;
 +
 +
this->m_rows = m.m_rows;
 +
this->m_columns = m.m_columns;
 +
dp = new T[m_rows*m_columns];
 +
m_dpp = new T*[m_rows];
 +
 +
for(i = 0;i < m_rows;i++)
 +
m_dpp[i] = dp+(i * m_columns);
 +
for(i = 0;i < m_rows;i++)
 +
for(j = 0;j < m_columns;j++)
 +
m_dpp[i][j] = m.m_dpp[i][j];
 +
}
 +
template <class T>
 +
MyMatrix<T>::~MyMatrix()
 +
{
 +
if(m_dpp != NULL)
 +
{
 +
delete [] m_dpp[0];
 +
delete [] m_dpp;
 +
}
 +
}
 +
template <class T>
 +
MyMatrix<T> MyMatrix<T>::operator=(const MyMatrix<T>& m)
 +
{
 +
int i, j;
 +
 +
if(this != &m)
 +
{
 +
if((m.m_rows == m_rows) && (m.m_columns == m_columns))
 +
{
 +
for(i = 0;i < m_rows;i++)
 +
for(j = 0;j < m_columns;j++)
 +
m_dpp[i][j] = m.m_dpp[i][j];
 +
return *this;
 +
}
 +
if(m_dpp != NULL)
 +
{
 +
delete [] m_dpp[0];
 +
delete [] m_dpp;
 +
}
 +
 +
T* dp;
 +
this->m_rows = m.m_rows;
 +
this->m_columns = m.m_columns;
 +
dp = new T[m_rows*m_columns];
 +
m_dpp = new T*[m_rows];
 +
 +
for(i = 0;i < m_rows;i++)
 +
m_dpp[i] = dp+(i * m_columns);
 +
for(i = 0;i < m_rows;i++)
 +
for(j = 0;j < m_columns;j++)
 +
m_dpp[i][j] = m.m_dpp[i][j];
 +
}
 +
return *this;
 +
}
 +
template <class T>
 +
MyMatrix<T> MyMatrix<T>::operator+(const MyMatrix<T>& m2) const
 +
{
 +
int i, j;
 +
 +
if((m2.m_rows != m_rows) || (m2.m_columns != m_columns))
 +
{
 +
cout<<"Error, different rows and/or columns.\n"
 +
<<"Press enter to exit the program."<<flush;
 +
cin.get();
 +
cin.get();
 +
exit(1);
 +
}
 +
MyMatrix sum(m2.m_rows,m2.m_columns);
 +
for(i = 0;i < sum.m_rows;i++)
 +
for(j = 0;j < sum.m_columns;j++)
 +
sum.m_dpp[i][j] = m_dpp[i][j] + m2.m_dpp[i][j];
 +
return sum;
 +
}
 +
template <class T>
 +
MyMatrix<T> MyMatrix<T>::operator-(const MyMatrix<T>& m2) const
 +
{
 +
int i, j;
 +
 +
if((m2.m_rows != m_rows) || (m2.m_columns != m_columns))
 +
{
 +
cout<<"Error, different rows and/or columns.\n"
 +
<<"Press enter to exit the program."<<flush;
 +
cin.get();
 +
cin.get();
 +
exit(1);
 +
}
 +
MyMatrix sum(m2.m_rows,m2.m_columns);
 +
for(i = 0;i < m2.m_rows;i++)
 +
for(j = 0;j < m2.m_columns;j++)
 +
sum.m_dpp[i][j] = m_dpp[i][j] - m2.m_dpp[i][j];
 +
return sum;
 +
}
 +
template <class T>
 +
T* MyMatrix<T>::operator[](int i)
 +
{
 +
if(i >= 0 && i < m_rows)
 +
return m_dpp[i];
 +
else
 +
{
 +
cout<<"Error, Out of Range. Press enter to exit the program."<<flush;
 +
cin.get();
 +
cin.get();
 +
exit(1);
 +
}
 +
}
 +
template <class T>
 +
T* MyMatrix<T>::operator[](int i) const
 +
{
 +
if(i >= 0 && i < m_rows)
 +
return m_dpp[i];
 +
else
 +
{
 +
cout<<"Error, Out of Range. Press enter to exit the program."<<flush;
 +
cin.get();
 +
cin.get();
 +
exit(1);
 +
}
 +
}
 +
template <class T>
 +
void MyMatrix<T>::Read(istream& is)
 +
{
 +
int i, j;
 +
int rows, columns;
 +
 +
if(is == cin)
 +
{
 +
cout<<"Enter the number of rows: "<<flush;
 +
cin>>rows;
 +
cout<<"Enter the number of columns: "<<flush;
 +
cin>>columns;
 +
 +
if((rows == m_rows) && (columns == m_columns))
 +
{
 +
for(i = 0;i < m_rows;i++)
 +
{
 +
for(j = 0;j < m_columns;j++)
 +
{
 +
cout<<"m["<<i<<"]"<<"["<<j<<"] = "<<flush;
 +
cin>>m_dpp[i][j];
 +
}
 +
}
 +
}
 +
else
 +
{
 +
if(m_dpp != NULL)
 +
{
 +
delete [] m_dpp[0];
 +
delete [] m_dpp;
 +
}
 +
 +
m_rows = rows;
 +
m_columns = columns;
 +
 +
T *dp;
 +
dp = new T[m_rows*m_columns];
 +
m_dpp = new T*[m_rows];
 +
 +
for(i = 0;i < m_rows;i++)
 +
m_dpp[i] = dp + (i * m_columns);
 +
for(i = 0;i < m_rows;i++)
 +
{
 +
for(j = 0;j < m_columns;j++)
 +
{
 +
cout<<"m["<<i<<"]"<<"["<<j<<"] = "<<flush;
 +
cin>>m_dpp[i][j];
 +
}
 +
}
 +
}
 +
}
 +
else
 +
{
 +
is>>m_rows;
 +
is>>m_columns;
 +
 +
if(m_dpp != NULL)
 +
{
 +
delete [] m_dpp[0];
 +
delete [] m_dpp;
 +
}
 +
 +
T *dp;
 +
dp = new T[m_rows*m_columns];
 +
m_dpp = new T*[m_rows];
 +
 +
for(i = 0;i < m_rows;i++)
 +
m_dpp[i] = dp + (i * m_columns);
 +
for(i = 0;i < m_rows;i++)
 +
{
 +
for(j = 0;j < m_columns;j++)
 +
is>>m_dpp[i][j];
 +
}
 +
}
 +
}
 +
template <class T>
 +
void MyMatrix<T>::Write(ostream& os) const
 +
{
 +
int i, j;
 +
 +
if(os == cout)
 +
{
 +
if((m_rows == 0) || (m_columns == 0))
 +
cout<<"The matrix is empty.\n";
 +
 +
for(i = 0;i < m_rows;i++)
 +
{
 +
if(i > 0)
 +
cout<<"\n\n";
 +
 +
for(j = 0;j < m_columns;j++)
 +
{
 +
cout<<m_dpp[i][j]<<" ";
 +
}
 +
cout<<"\n";
 +
}
 +
}
 +
else
 +
{
 +
for(i = 0;i < m_rows;i++)
 +
{
 +
for(j = 0;j < m_columns;j++)
 +
{
 +
os<<m_dpp[i][j]<<"\n";
 +
}
 +
}
 +
}
 +
}
 +
template <class T>
 +
istream& operator>>(istream& is, MyMatrix<T>& m)
 +
{
 +
m.Read(is);
 +
return is;
 +
}
 +
template <class T>
 +
ostream& operator<<(ostream& os, const MyMatrix<T>& m)
 +
{
 +
m.Write(os);
 +
return os;
 +
}
 +
</pre>
 +
==MyMatrix.cpp==
 +
<pre>
 +
#include <iostream>
 +
#include <cmath>
 +
#include "MyMatrix.h"
 +
using namespace std;
 +
 +
template <class T>
 +
T MyMatrix<T>::getDeterminant(MyMatrix& m)
 +
{
 +
int r, c;
 +
r = m.m_rows;
 +
c = m.m_columns;
 +
 +
T determinant = 0.0;
 +
 +
if(r == c)
 +
{
 +
if(r < 1)
 +
{
 +
cout<<"Less than one row and/or column";
 +
exit(1);
 +
}
 +
else if(r == 1)
 +
{
 +
return m[0][0];
 +
}
 +
else if(r == 2)
 +
{
 +
//cout<<"The determinant is: "<<((m[0][0]*m[1][1]) - (m[0][1]*m[1][0]));
 +
determinant = ((m[0][0]*m[1][1]) - (m[1][0]*m[0][1]));
 +
return determinant;
 +
}
 +
else
 +
{
 +
for(int columns = 0; columns < m.m_columns; columns++)
 +
{
 +
MyMatrix m2((m.m_rows-1),(m.m_columns-1));
 +
 +
for(int subRows = 1; subRows < m.m_rows; subRows++)
 +
{
 +
int subColumns = 0;
 +
 +
for(int i = 0; i < m.m_columns; i++)
 +
{
 +
if(i != columns)
 +
{
 +
m2[(subRows-1)][subColumns] = m[subRows][i];
 +
subColumns++;
 +
}
 +
}
 +
}
 +
determinant = determinant + ((m[0][columns])*(pow(float(-1),float(columns)))*(m2.getDeterminant(m2)));
 +
}
 +
}
 +
return determinant;
 +
}
 +
else
 +
{
 +
cout<<"Error, the matrix is uneven, cannot determine the matrix, exiting program.";
 +
exit(1);
 +
}
 +
}
 +
template <class T>
 +
MyMatrix<T>::MyMatrix()
 +
{
 +
m_rows = 0;
 +
m_columns = 0;
 +
m_dpp = NULL;
 +
}
 +
template <class T>
 +
MyMatrix<T>::MyMatrix(int rows, int columns)
 +
{
 +
int i, j;
 +
T *dp;
 +
 +
this->m_rows = rows;
 +
this->m_columns = columns;
 +
dp = new T[m_rows*m_columns];
 +
m_dpp = new T*[m_rows];
 +
 +
for(i = 0;i < m_rows;i++)
 +
m_dpp[i] = dp+(i * m_columns);
 +
for(i = 0;i < m_rows;i++)
 +
for(j = 0;j < m_columns;j++)
 +
m_dpp[i][j] = 0;
 +
}
 +
template <class T>
 +
MyMatrix<T>::MyMatrix(const MyMatrix& m)
 +
{
 +
int i, j;
 +
T *dp;
 +
 +
this->m_rows = m.m_rows;
 +
this->m_columns = m.m_columns;
 +
dp = new T[m_rows*m_columns];
 +
m_dpp = new T*[m_rows];
 +
 +
for(i = 0;i < m_rows;i++)
 +
m_dpp[i] = dp+(i * m_columns);
 +
for(i = 0;i < m_rows;i++)
 +
for(j = 0;j < m_columns;j++)
 +
m_dpp[i][j] = m.m_dpp[i][j];
 +
}
 +
template <class T>
 +
MyMatrix<T>::~MyMatrix()
 +
{
 +
if(m_dpp != NULL)
 +
{
 +
delete [] m_dpp[0];
 +
delete [] m_dpp;
 +
}
 +
}
 +
template <class T>
 +
MyMatrix<T> MyMatrix<T>::operator=(const MyMatrix& m)
 +
{
 +
int i, j;
 +
 +
if(this != &m)
 +
{
 +
if((m.m_rows == m_rows) && (m.m_columns == m_columns))
 +
{
 +
for(i = 0;i < m_rows;i++)
 +
for(j = 0;j < m_columns;j++)
 +
m_dpp[i][j] = m.m_dpp[i][j];
 +
return *this;
 +
}
 +
if(m_dpp != NULL)
 +
{
 +
delete [] m_dpp[0];
 +
delete [] m_dpp;
 +
}
 +
 +
T* dp;
 +
this->m_rows = m.m_rows;
 +
this->m_columns = m.m_columns;
 +
dp = new T[m_rows*m_columns];
 +
m_dpp = new T*[m_rows];
 +
 +
for(i = 0;i < m_rows;i++)
 +
m_dpp[i] = dp+(i * m_columns);
 +
for(i = 0;i < m_rows;i++)
 +
for(j = 0;j < m_columns;j++)
 +
m_dpp[i][j] = m.m_dpp[i][j];
 +
}
 +
return *this;
 +
}
 +
template <class T>
 +
MyMatrix<T> MyMatrix<T>::operator+(const MyMatrix& m2) const
 +
{
 +
int i, j;
 +
 +
if((m2.m_rows != m_rows) || (m2.m_columns != m_columns))
 +
{
 +
cout<<"Error, different rows and/or columns.\n"
 +
<<"Press enter to exit the program."<<flush;
 +
cin.get();
 +
cin.get();
 +
exit(1);
 +
}
 +
MyMatrix sum(m2.m_rows,m2.m_columns);
 +
for(i = 0;i < sum.m_rows;i++)
 +
for(j = 0;j < sum.m_columns;j++)
 +
sum.m_dpp[i][j] = m_dpp[i][j] + m2.m_dpp[i][j];
 +
return sum;
 +
}
 +
template <class T>
 +
MyMatrix<T> MyMatrix<T>::operator-(const MyMatrix& m2) const
 +
{
 +
int i, j;
 +
 +
if((m2.m_rows != m_rows) || (m2.m_columns != m_columns))
 +
{
 +
cout<<"Error, different rows and/or columns.\n"
 +
<<"Press enter to exit the program."<<flush;
 +
cin.get();
 +
cin.get();
 +
exit(1);
 +
}
 +
MyMatrix sum(m2.m_rows,m2.m_columns);
 +
for(i = 0;i < m2.m_rows;i++)
 +
for(j = 0;j < m2.m_columns;j++)
 +
sum.m_dpp[i][j] = m_dpp[i][j] - m2.m_dpp[i][j];
 +
return sum;
 +
}
 +
template <class T>
 +
T* MyMatrix<T>::operator[](int i)
 +
{
 +
if(i >= 0 && i < m_rows)
 +
return m_dpp[i];
 +
else
 +
{
 +
cout<<"Error, Out of Range. Press enter to exit the program."<<flush;
 +
cin.get();
 +
cin.get();
 +
exit(1);
 +
}
 +
}
 +
template <class T>
 +
T* MyMatrix<T>::operator[](int i) const
 +
{
 +
if(i >= 0 && i < m_rows)
 +
return m_dpp[i];
 +
else
 +
{
 +
cout<<"Error, Out of Range. Press enter to exit the program."<<flush;
 +
cin.get();
 +
cin.get();
 +
exit(1);
 +
}
 +
}
 +
template <class T>
 +
void MyMatrix<T>::Read(istream& is)
 +
{
 +
int i, j;
 +
int rows, columns;
 +
 +
if(is == cin)
 +
{
 +
cout<<"Enter the number of rows: "<<flush;
 +
cin>>rows;
 +
cout<<"Enter the number of columns: "<<flush;
 +
cin>>columns;
 +
 +
if((rows == m_rows) && (columns == m_columns))
 +
{
 +
for(i = 0;i < m_rows;i++)
 +
{
 +
for(j = 0;j < m_columns;j++)
 +
{
 +
cout<<"m["<<i<<"]"<<"["<<j<<"] = "<<flush;
 +
cin>>m_dpp[i][j];
 +
}
 +
}
 +
}
 +
else
 +
{
 +
if(m_dpp != NULL)
 +
{
 +
delete [] m_dpp[0];
 +
delete [] m_dpp;
 +
}
 +
 +
m_rows = rows;
 +
m_columns = columns;
 +
 +
T *dp;
 +
dp = new T[m_rows*m_columns];
 +
m_dpp = new T*[m_rows];
 +
 +
for(i = 0;i < m_rows;i++)
 +
m_dpp[i] = dp + (i * m_columns);
 +
for(i = 0;i < m_rows;i++)
 +
{
 +
for(j = 0;j < m_columns;j++)
 +
{
 +
cout<<"m["<<i<<"]"<<"["<<j<<"] = "<<flush;
 +
cin>>m_dpp[i][j];
 +
}
 +
}
 +
}
 +
}
 +
else
 +
{
 +
is>>m_rows;
 +
is>>m_columns;
 +
 +
if(m_dpp != NULL)
 +
{
 +
delete [] m_dpp[0];
 +
delete [] m_dpp;
 +
}
 +
 +
T *dp;
 +
dp = new T[m_rows*m_columns];
 +
m_dpp = new T*[m_rows];
 +
 +
for(i = 0;i < m_rows;i++)
 +
m_dpp[i] = dp + (i * m_columns);
 +
for(i = 0;i < m_rows;i++)
 +
{
 +
for(j = 0;j < m_columns;j++)
 +
is>>m_dpp[i][j];
 +
}
 +
}
 +
}
 +
template <class T>
 +
void MyMatrix::Write(ostream& os) const
 +
{
 +
int i, j;
 +
 +
if(os == cout)
 +
{
 +
if((m_rows == 0) || (m_columns == 0))
 +
cout<<"The matrix is empty.\n";
 +
 +
for(i = 0;i < m_rows;i++)
 +
{
 +
if(i > 0)
 +
cout<<"\n\n";
 +
 +
for(j = 0;j < m_columns;j++)
 +
{
 +
cout<<m_dpp[i][j]<<" ";
 +
}
 +
}
 +
}
 +
else
 +
{
 +
for(i = 0;i < m_rows;i++)
 +
{
 +
for(j = 0;j < m_columns;j++)
 +
{
 +
os<<m_dpp[i][j]<<"\n";
 +
}
 +
}
 +
}
 +
}
 +
template <class T>
 +
istream& operator>>(istream& is, MyMatrix<T>& m)
 +
{
 +
m.Read(is);
 +
return is;
 +
}
 +
template <class T>
 +
ostream& operator<<(ostream& os, const MyMatrix<T>& m)
 +
{
 +
m.Write(os);
 +
return os;
 +
}
 +
 +
</pre>
 +
==Main.cpp==
 +
<pre>
 +
#include <iostream>
 +
#include <string>
 +
#include <cmath>
 +
using namespace std;
 +
 +
template <class T>
 +
class MyMatrix
 +
{
 +
public:
 +
MyMatrix();
 +
MyMatrix(const MyMatrix<T>& m);
 +
MyMatrix(int rows, int columns);
 +
~MyMatrix();
 +
MyMatrix operator+(const MyMatrix<T>& m2) const;
 +
MyMatrix operator-(const MyMatrix<T>& m2) const;
 +
MyMatrix operator=(const MyMatrix<T>& m);
 +
T* operator[](int i);
 +
T* operator[](int i) const;
 +
T getDeterminant(MyMatrix<T>& m);
 +
void Read(istream& is);
 +
void Write(ostream& os) const;
 +
private:
 +
T **m_dpp;
 +
int m_rows;
 +
int m_columns;
 +
};
 +
template <class T>
 +
istream& operator>>(istream& is, MyMatrix<T>& m);
 +
template <class T>
 +
ostream& operator<<(ostream& os, const MyMatrix<T>& m);
 +
void main()
 +
{
 +
 +
MyMatrix<int>m1;
 +
MyMatrix<double>m2;
 +
MyMatrix<float>m3;
 +
m1.getDeterminant(m1);
 +
 +
cout<<"Before entering data in to MyMatrix<int>m1.\n"<<flush;
 +
cin>>m1;
 +
cout<<"\nPrinting out m1.\n"<<flush;
 +
cout<<m1;
 +
MyMatrix<int>m4(m1);
 +
cout<<"\nAfter m4(m1).\n"<<flush;
 +
cout<<m4;
 +
cout<<"\nBefore entering data in to MyMatrix<double>m2.\n"<<flush;
 +
cin>>m2;
 +
cout<<"\nPrinting out m2.\n"<<flush;
 +
cout<<m2;
 +
cout<<"\nBefore entering data in to MyMatrix<float>m3.\n"<<flush;
 +
cin>>m3;
 +
cout<<"\nPrinting out m3.\n"<<flush;
 +
cout<<m3;
 +
MyMatrix<float>m6 = m3;
 +
cout<<"\nAfter m6 = m3.\n"<<flush;
 +
cout<<m6;
 +
cout<<"\nEnd of program reached.\n"<<flush;
 +
cin.get();
 +
}
 +
 +
template <class T>
 +
T MyMatrix<T>::getDeterminant(MyMatrix<T>& m)
 +
{
 +
int r, c;
 +
r = m.m_rows;
 +
c = m.m_columns;
 +
 +
T determinant/* = 0.0*/;
 +
 +
if(r == c)
 +
{
 +
if(r < 1)
 +
{
 +
cout<<"Less than one row and/or column";
 +
exit(1);
 +
}
 +
else if(r == 1)
 +
{
 +
return m[0][0];
 +
}
 +
else if(r == 2)
 +
{
 +
//cout<<"The determinant is: "<<((m[0][0]*m[1][1]) - (m[0][1]*m[1][0]));
 +
determinant = ((m[0][0]*m[1][1]) - (m[1][0]*m[0][1]));
 +
return determinant;
 +
}
 +
else
 +
{
 +
for(int columns = 0; columns < m.m_columns; columns++)
 +
{
 +
MyMatrix m2((m.m_rows-1),(m.m_columns-1));
 +
 +
for(int subRows = 1; subRows < m.m_rows; subRows++)
 +
{
 +
int subColumns = 0;
 +
 +
for(int i = 0; i < m.m_columns; i++)
 +
{
 +
if(i != columns)
 +
{
 +
m2[(subRows-1)][subColumns] = m[subRows][i];
 +
subColumns++;
 +
}
 +
}
 +
}
 +
determinant = determinant + ((m[0][columns])*(pow(float(-1),float(columns)))*(m2.getDeterminant(m2)));
 +
}
 +
}
 +
return determinant;
 +
}
 +
else
 +
{
 +
cout<<"Error, the matrix is uneven, cannot determine the matrix, exiting program.";
 +
exit(1);
 +
}
 +
}
 +
template <class T>
 +
MyMatrix<T>::MyMatrix()
 +
{
 +
m_rows = 0;
 +
m_columns = 0;
 +
m_dpp = NULL;
 +
}
 +
template <class T>
 +
MyMatrix<T>::MyMatrix(int rows, int columns)
 +
{
 +
int i, j;
 +
T *dp;
 +
 +
this->m_rows = rows;
 +
this->m_columns = columns;
 +
dp = new T[m_rows*m_columns];
 +
m_dpp = new T*[m_rows];
 +
 +
for(i = 0;i < m_rows;i++)
 +
m_dpp[i] = dp+(i * m_columns);
 +
for(i = 0;i < m_rows;i++)
 +
for(j = 0;j < m_columns;j++)
 +
m_dpp[i][j] = 0;
 +
}
 +
template <class T>
 +
MyMatrix<T>::MyMatrix(const MyMatrix<T>& m)
 +
{
 +
int i, j;
 +
T *dp;
 +
 +
this->m_rows = m.m_rows;
 +
this->m_columns = m.m_columns;
 +
dp = new T[m_rows*m_columns];
 +
m_dpp = new T*[m_rows];
 +
 +
for(i = 0;i < m_rows;i++)
 +
m_dpp[i] = dp+(i * m_columns);
 +
for(i = 0;i < m_rows;i++)
 +
for(j = 0;j < m_columns;j++)
 +
m_dpp[i][j] = m.m_dpp[i][j];
 +
}
 +
template <class T>
 +
MyMatrix<T>::~MyMatrix()
 +
{
 +
if(m_dpp != NULL)
 +
{
 +
delete [] m_dpp[0];
 +
delete [] m_dpp;
 +
}
 +
}
 +
template <class T>
 +
MyMatrix<T> MyMatrix<T>::operator=(const MyMatrix<T>& m)
 +
{
 +
int i, j;
 +
 +
if(this != &m)
 +
{
 +
if((m.m_rows == m_rows) && (m.m_columns == m_columns))
 +
{
 +
for(i = 0;i < m_rows;i++)
 +
for(j = 0;j < m_columns;j++)
 +
m_dpp[i][j] = m.m_dpp[i][j];
 +
return *this;
 +
}
 +
if(m_dpp != NULL)
 +
{
 +
delete [] m_dpp[0];
 +
delete [] m_dpp;
 +
}
 +
 +
T* dp;
 +
this->m_rows = m.m_rows;
 +
this->m_columns = m.m_columns;
 +
dp = new T[m_rows*m_columns];
 +
m_dpp = new T*[m_rows];
 +
 +
for(i = 0;i < m_rows;i++)
 +
m_dpp[i] = dp+(i * m_columns);
 +
for(i = 0;i < m_rows;i++)
 +
for(j = 0;j < m_columns;j++)
 +
m_dpp[i][j] = m.m_dpp[i][j];
 +
}
 +
return *this;
 +
}
 +
template <class T>
 +
MyMatrix<T> MyMatrix<T>::operator+(const MyMatrix<T>& m2) const
 +
{
 +
int i, j;
 +
 +
if((m2.m_rows != m_rows) || (m2.m_columns != m_columns))
 +
{
 +
cout<<"Error, different rows and/or columns.\n"
 +
<<"Press enter to exit the program."<<flush;
 +
cin.get();
 +
cin.get();
 +
exit(1);
 +
}
 +
MyMatrix sum(m2.m_rows,m2.m_columns);
 +
for(i = 0;i < sum.m_rows;i++)
 +
for(j = 0;j < sum.m_columns;j++)
 +
sum.m_dpp[i][j] = m_dpp[i][j] + m2.m_dpp[i][j];
 +
return sum;
 +
}
 +
template <class T>
 +
MyMatrix<T> MyMatrix<T>::operator-(const MyMatrix<T>& m2) const
 +
{
 +
int i, j;
 +
 +
if((m2.m_rows != m_rows) || (m2.m_columns != m_columns))
 +
{
 +
cout<<"Error, different rows and/or columns.\n"
 +
<<"Press enter to exit the program."<<flush;
 +
cin.get();
 +
cin.get();
 +
exit(1);
 +
}
 +
MyMatrix difference(m2.m_rows,m2.m_columns);
 +
for(i = 0;i < m2.m_rows;i++)
 +
for(j = 0;j < m2.m_columns;j++)
 +
difference.m_dpp[i][j] = m_dpp[i][j] - m2.m_dpp[i][j];
 +
return difference;
 +
}
 +
template <class T>
 +
T* MyMatrix<T>::operator[](int i)
 +
{
 +
if(i >= 0 && i < m_rows)
 +
return m_dpp[i];
 +
else
 +
{
 +
cout<<"Error, Out of Range. Press enter to exit the program."<<flush;
 +
cin.get();
 +
cin.get();
 +
exit(1);
 +
}
 +
}
 +
template <class T>
 +
T* MyMatrix<T>::operator[](int i) const
 +
{
 +
if(i >= 0 && i < m_rows)
 +
return m_dpp[i];
 +
else
 +
{
 +
cout<<"Error, Out of Range. Press enter to exit the program."<<flush;
 +
cin.get();
 +
cin.get();
 +
exit(1);
 +
}
 +
}
 +
template <class T>
 +
void MyMatrix<T>::Read(istream& is)
 +
{
 +
int i, j;
 +
int rows, columns;
 +
 +
if(is == cin)
 +
{
 +
cout<<"Enter the number of rows: "<<flush;
 +
cin>>rows;
 +
cout<<"Enter the number of columns: "<<flush;
 +
cin>>columns;
 +
 +
if((rows == m_rows) && (columns == m_columns))
 +
{
 +
for(i = 0;i < m_rows;i++)
 +
{
 +
for(j = 0;j < m_columns;j++)
 +
{
 +
cout<<"m["<<i<<"]"<<"["<<j<<"] = "<<flush;
 +
cin>>m_dpp[i][j];
 +
}
 +
}
 +
}
 +
else
 +
{
 +
if(m_dpp != NULL)
 +
{
 +
delete [] m_dpp[0];
 +
delete [] m_dpp;
 +
}
 +
 +
m_rows = rows;
 +
m_columns = columns;
 +
 +
T *dp;
 +
dp = new T[m_rows*m_columns];
 +
m_dpp = new T*[m_rows];
 +
 +
for(i = 0;i < m_rows;i++)
 +
m_dpp[i] = dp + (i * m_columns);
 +
for(i = 0;i < m_rows;i++)
 +
{
 +
for(j = 0;j < m_columns;j++)
 +
{
 +
cout<<"m["<<i<<"]"<<"["<<j<<"] = "<<flush;
 +
cin>>m_dpp[i][j];
 +
}
 +
}
 +
}
 +
}
 +
else
 +
{
 +
is>>m_rows;
 +
is>>m_columns;
 +
 +
if(m_dpp != NULL)
 +
{
 +
delete [] m_dpp[0];
 +
delete [] m_dpp;
 +
}
 +
 +
T *dp;
 +
dp = new T[m_rows*m_columns];
 +
m_dpp = new T*[m_rows];
 +
 +
for(i = 0;i < m_rows;i++)
 +
m_dpp[i] = dp + (i * m_columns);
 +
for(i = 0;i < m_rows;i++)
 +
{
 +
for(j = 0;j < m_columns;j++)
 +
is>>m_dpp[i][j];
 +
}
 +
}
 +
}
 +
template <class T>
 +
void MyMatrix<T>::Write(ostream& os) const
 +
{
 +
int i, j;
 +
 +
if(os == cout)
 +
{
 +
if((m_rows == 0) || (m_columns == 0))
 +
cout<<"The matrix is empty.\n";
 +
 +
for(i = 0;i < m_rows;i++)
 +
{
 +
if(i > 0)
 +
cout<<"\n\n";
 +
 +
for(j = 0;j < m_columns;j++)
 +
{
 +
cout<<m_dpp[i][j]<<" ";
 +
}
 +
cout<<"\n";
 +
}
 +
}
 +
else
 +
{
 +
for(i = 0;i < m_rows;i++)
 +
{
 +
for(j = 0;j < m_columns;j++)
 +
{
 +
os<<m_dpp[i][j]<<"\n";
 +
}
 +
}
 +
}
 +
}
 +
template <class T>
 +
istream& operator>>(istream& is, MyMatrix<T>& m)
 +
{
 +
m.Read(is);
 +
return is;
 +
}
 +
template <class T>
 +
ostream& operator<<(ostream& os, const MyMatrix<T>& m)
 +
{
 +
m.Write(os);
 +
return os;
 
}
 
}
 
</pre>
 
</pre>

Latest revision as of 23:10, 19 February 2011

MyMatrix.h

#pragma once
#include <iostream>
using namespace std;

class MyMatrix
{
public:
	MyMatrix();
	MyMatrix(const MyMatrix& m);
	MyMatrix(int rows, int columns);
	~MyMatrix();
	MyMatrix operator+(const MyMatrix& m2) const;
	MyMatrix operator-(const MyMatrix& m2) const;
	MyMatrix operator=(const MyMatrix& m);
	double* operator[](int i);
	double* operator[](int i) const;
	double getDeterminant(MyMatrix& m);
	void Read(istream& is);
	void Write(ostream& os) const;
private:
	double **m_dpp;
	int m_rows;
	int m_columns;
};
istream& operator>>(istream& is, MyMatrix& m);
ostream& operator<<(ostream& os, const MyMatrix& m);

MyMatrix.cpp

#include <iostream>
#include <cmath>
#include "MyMatrix.h"
using namespace std;

double MyMatrix::getDeterminant(MyMatrix& m)
{
	int r, c;
	r = m.m_rows;
	c = m.m_columns;

	double determinant = 0.0;

	if(r == c)
	{
		if(r < 1)
		{
			cout<<"Less than one row and/or column";
			exit(1);
		}
		else if(r == 1)
		{
			return m[0][0];
		}
		else if(r == 2)
		{
			//cout<<"The determinant is: "<<((m[0][0]*m[1][1]) - (m[0][1]*m[1][0]));
			determinant = ((m[0][0]*m[1][1]) - (m[1][0]*m[0][1]));
			return determinant;
		}
		else
		{
			for(int columns = 0; columns < m.m_columns; columns++)
			{
				MyMatrix m2((m.m_rows-1),(m.m_columns-1));

				for(int subRows = 1; subRows < m.m_rows; subRows++)
				{
					int subColumns = 0;

					for(int i = 0; i < m.m_columns; i++)
					{
						if(i != columns)
						{
							m2[(subRows-1)][subColumns] = m[subRows][i];
							subColumns++;
						}
					}
				}
				determinant = determinant + ((m[0][columns])*(pow(float(-1),float(columns)))*(m2.getDeterminant(m2)));
			}
		}
		return determinant;
	}
	else
	{
		cout<<"Error, the matrix is uneven, cannot determine the matrix, exiting program.";
		exit(1);
	}
}
MyMatrix::MyMatrix()
{
	m_rows = 0;
	m_columns = 0;
	m_dpp = NULL;
}
MyMatrix::MyMatrix(int rows, int columns)
{
	int i, j;
	double *dp;

	this->m_rows = rows;
	this->m_columns = columns;
	dp = new double[m_rows*m_columns];
	m_dpp = new double*[m_rows];

	for(i = 0;i < m_rows;i++)
		m_dpp[i] = dp+(i * m_columns);
	for(i = 0;i < m_rows;i++)
		for(j = 0;j < m_columns;j++)
			m_dpp[i][j] = 0;
}
MyMatrix::MyMatrix(const MyMatrix& m)
{
	int i, j;
	double *dp;

	this->m_rows = m.m_rows;
	this->m_columns = m.m_columns;
	dp = new double[m_rows*m_columns]; //Real -> m_rows*m_columns != 0
	m_dpp = new double*[m_rows];

	for(i = 0;i < m_rows;i++)
		m_dpp[i] = dp+(i * m_columns);
	for(i = 0;i < m_rows;i++)
		for(j = 0;j < m_columns;j++)
			m_dpp[i][j] = m.m_dpp[i][j];
}
MyMatrix::~MyMatrix()
{
	if(m_dpp != NULL)
	{
		delete [] m_dpp[0];
		delete [] m_dpp;
	}
}
MyMatrix MyMatrix::operator=(const MyMatrix& m)
{
	int i, j;

	if(this != &m)
	{
		if((m.m_rows == m_rows) && (m.m_columns == m_columns))
		{
			for(i = 0;i < m_rows;i++)
				for(j = 0;j < m_columns;j++)
					m_dpp[i][j] = m.m_dpp[i][j];
			return *this;
		}
		if(m_dpp != NULL)
		{
			delete [] m_dpp[0];
			delete [] m_dpp;
		}

		double* dp;
		this->m_rows = m.m_rows;
		this->m_columns = m.m_columns;
		dp = new double[m_rows*m_columns];
		m_dpp = new double*[m_rows];

		for(i = 0;i < m_rows;i++)
			m_dpp[i] = dp+(i * m_columns);
		for(i = 0;i < m_rows;i++)
			for(j = 0;j < m_columns;j++)
				m_dpp[i][j] = m.m_dpp[i][j];
	}
	return *this;
}
double* MyMatrix::operator[](int i)
{
	if(i >= 0 && i < m_rows)
		return m_dpp[i];
	else
	{
		cout<<"Error, Out of Range. Press enter to exit the program."<<flush;
		cin.get();
		cin.get();
		exit(1);
	}
}
double* MyMatrix::operator[](int i) const
{
	if(i >= 0 && i < m_rows)
		return m_dpp[i];
	else
	{
		cout<<"Error, Out of Range. Press enter to exit the program."<<flush;
		cin.get();
		cin.get();
		exit(1);
	}
}
MyMatrix MyMatrix::operator+(const MyMatrix& m2) const
{
	int i, j;

	if((m2.m_rows != m_rows) || (m2.m_columns != m_columns))
	{
		cout<<"Error, different rows and/or columns.\n"
			<<"Press enter to exit the program."<<flush;
		cin.get();
		cin.get();
		exit(1);
	}
	MyMatrix sum(m2.m_rows,m2.m_columns);
	for(i = 0;i < sum.m_rows;i++)
		for(j = 0;j < sum.m_columns;j++)
			sum.m_dpp[i][j] = m_dpp[i][j] + m2.m_dpp[i][j];
	return sum;
}
MyMatrix MyMatrix::operator-(const MyMatrix& m2) const
{
	int i, j;

	if((m2.m_rows != m_rows) || (m2.m_columns != m_columns))
	{
		cout<<"Error, different rows and/or columns.\n"
			<<"Press enter to exit the program."<<flush;
		cin.get();
		cin.get();
		exit(1);
	}
	MyMatrix sum(m2.m_rows,m2.m_columns);
	for(i = 0;i < m2.m_rows;i++)
		for(j = 0;j < m2.m_columns;j++)
			sum.m_dpp[i][j] = m_dpp[i][j] - m2.m_dpp[i][j];
	return sum;
}
void MyMatrix::Read(istream& is)
{
	int i, j;
	int rows, columns;

	if(is == cin)
	{
		cout<<"Enter the number of rows: "<<flush;
		cin>>rows;
		cout<<"Enter the number of columns: "<<flush;
		cin>>columns;

		if((rows == m_rows) && (columns == m_columns))
		{
			for(i = 0;i < m_rows;i++)
			{
				for(j = 0;j < m_columns;j++)
				{
					cout<<"m["<<i<<"]"<<"["<<j<<"] = "<<flush;
					cin>>m_dpp[i][j];
				}
			}
		}
		else
		{
			if(m_dpp != NULL)
			{
				delete [] m_dpp[0];
				delete [] m_dpp;
			}

			m_rows = rows;
			m_columns = columns;

			double *dp;
			dp = new double[m_rows*m_columns];
			m_dpp = new double*[m_rows];

			for(i = 0;i < m_rows;i++)
				m_dpp[i] = dp + (i * m_columns);
			for(i = 0;i < m_rows;i++)
			{
				for(j = 0;j < m_columns;j++)
				{
					cout<<"m["<<i<<"]"<<"["<<j<<"] = "<<flush;
					cin>>m_dpp[i][j];
				}
			}
		}
	}
	else
	{
		is>>m_rows;
		is>>m_columns;

		if(m_dpp != NULL)
		{
			delete [] m_dpp[0];
			delete [] m_dpp;
		}

		double *dp;
		dp = new double[m_rows*m_columns];
		m_dpp = new double*[m_rows];

		for(i = 0;i < m_rows;i++)
			m_dpp[i] = dp + (i * m_columns);
		for(i = 0;i < m_rows;i++)
		{
			for(j = 0;j < m_columns;j++)
				is>>m_dpp[i][j];
		}
	}
}
void MyMatrix::Write(ostream& os) const
{
	int i, j;

	if(os == cout)
	{
		if((m_rows == 0) || (m_columns == 0))
			cout<<"The matrix is empty.\n";

		for(i = 0;i < m_rows;i++)
		{
			if(i > 0)
				cout<<"\n\n";

			for(j = 0;j < m_columns;j++)
			{
				cout<<m_dpp[i][j]<<" ";
			}
		}
	}
	else
	{
		for(i = 0;i < m_rows;i++)
		{
			for(j = 0;j < m_columns;j++)
			{
				os<<m_dpp[i][j]<<"\n";
			}
		}
	}
}
istream& operator>>(istream& is, MyMatrix& m)
{	
	m.Read(is);
	return is;
}
ostream& operator<<(ostream& os, const MyMatrix& m)
{
	m.Write(os);
	return os;
}

Main.cpp

#include <iostream>
#include <string>
#include "MyMatrix.h"
using namespace std;

void main()
{
	int rows,i,j;
	double cr;
	//MyMatrix m1, m2(2,3);

	cout<<"How many equations would you like to solve? "<<flush;
	cin>>rows;

	MyMatrix m3(rows,rows); //Input matrix
	MyMatrix m4(rows,1); //Answer matrix

	for(i = 0;i < rows;i++)
	{
		for(j = 0;j < rows;j++)
		{
			cout<<"Enter the coefficent of row "<<(i + 1)
				<<", column "<<(j + 1)<<": ";
			cin>>m3[i][j];
		}
		cout<<"Enter what the row equates to: ";
		cin>>m4[i][0];
	}
	cout<<"The determinant is: "<<m3.getDeterminant(m3)<<"\n";

	MyMatrix m5(m3); //D Matrix
	MyMatrix m6(1,rows); //Variable matrix

	for(j = 0; j < rows;j++)
	{
		cr = 0;
		for(i = 0;i < rows;i++)
		{
			m5[i][j] = m4[i][0];
		}
		cr = ((m5.getDeterminant(m5))/(m3.getDeterminant(m3)));
		m5 = m3;
		m6[0][j] = cr;
		cout<<"cr"<<(j+1)<<" = "<<cr<<endl;
	}
	cout<<"Checking phase"<<'\n';
	double var;
	for(i = 0;i < rows;i++)
	{
		var = 0;
		for(j = 0;j < rows;j++)
		{
			var += (m6[0][j] * m5[i][j]);
			cout<<m5[i][j]<<" * "<<m6[0][j];
			if(j != rows - 1)
			{
				cout<<" + ";
			}
			else
			{
				cout<<" = ";
			}
		}
		cout<<var<<endl;
	}
	cout<<"\nHit enter to exit the program."<<endl;

	/*cout<<"After:\n"
		<<"MyMatrix m1, m2(2,3), m3;\n"
		<<"m1:\n"<<m1
		<<"\nm2:\n"<<m2
		<<"\nm3:\n"<<m3;

	cout<<"\n\nEnter the data for m3:\n"<<flush;
	cin>>m3;
	cout<<"\nThe matrix you entered follows:\n"<<m3;
	cout<<"\nHit enter to continue: "<<flush;
	cin.get();
	cin.get();

	cout<<"\nm3[0][0] = " << m3[0][0] << '\n';

	m3[0][0] = 29.999;

	cout<<"\nAfter:\n      m3[0][0] = 29.999;\nm3 follows:\n"<<m3;
	cout<<"\nHit enter to continue: "<<flush;
	cin.get();
	cout<<"\n\nEnter the data for m2:\n"<<flush;
	cin>>m2;
	cout<<"The matrix you entered follows:\n"<<m2;
	cout<<"\nHit enter to continue: "<<flush;
	cin.get();

	m1 = m2 + m3;

	cout<<"\n\nAfter:\n      m1 = m2 + m3;\nm1 follows:\n"<<m1;
	cout<<"\nHit enter to continue: "<<flush;
	cin.get();

	m1 = m2 - m3;

	cout<<"\n\nAfter:\n      m1 = m2 - m3;\nm1 follows:\n"<<m1;
	cout<<"\nHit enter to continue: "<<flush;
	cin.get();

	m1 = m3;

	cout<<"\n\nAfter:\n      m1 = m3;\nm1 follows:\n"<<m1;
	cout<<"\nHit enter to continue: "<<flush;
	cin.get();

	m1[0][0] = -999.876;

	cout<<"\n\nAfter:\n      m1[0][0] = -999.876;\nm1 follows:\n"<<m1
        <<"\n\nm3 follows:\n" <<m3<<"\n\nIs this what you expected?";
	cout<<"\n\nHit enter to exit the program: "<<flush;
	cin.get();*/
}

With Templates

MyMatrix.h

#pragma once
#include <iostream>
using namespace std;

template <class T>
class MyMatrix
{
public:
	MyMatrix();
	MyMatrix(const MyMatrix<T>& m);
	MyMatrix(int rows, int columns);
	~MyMatrix();
	MyMatrix operator+(const MyMatrix<T>& m2) const;
	MyMatrix operator-(const MyMatrix<T>& m2) const;
	MyMatrix operator=(const MyMatrix<T>& m);
	T* operator[](int i);
	T* operator[](int i) const;
	double getDeterminant(MyMatrix<T>& m);
	void Read(istream& is);
	void Write(ostream& os) const;
private:
	T **m_dpp;
	int m_rows;
	int m_columns;
};
template <class T>
istream& operator>>(istream& is, MyMatrix<T>& m);
template <class T>
ostream& operator<<(ostream& os, const MyMatrix<T>& m);

template <class T>
double MyMatrix<T>::getDeterminant(MyMatrix<T>& m)
{
	int r, c;
	r = m.m_rows;
	c = m.m_columns;

	double determinant = 0.0;

	if(r == c)
	{
		if(r < 1)
		{
			cout<<"Less than one row and/or column";
			exit(1);
		}
		else if(r == 1)
		{
			return m[0][0];
		}
		else if(r == 2)
		{
			//cout<<"The determinant is: "<<((m[0][0]*m[1][1]) - (m[0][1]*m[1][0]));
			determinant = ((m[0][0]*m[1][1]) - (m[1][0]*m[0][1]));
			return determinant;
		}
		else
		{
			for(int columns = 0; columns < m.m_columns; columns++)
			{
				MyMatrix m2((m.m_rows-1),(m.m_columns-1));

				for(int subRows = 1; subRows < m.m_rows; subRows++)
				{
					int subColumns = 0;

					for(int i = 0; i < m.m_columns; i++)
					{
						if(i != columns)
						{
							m2[(subRows-1)][subColumns] = m[subRows][i];
							subColumns++;
						}
					}
				}
				determinant = determinant + ((m[0][columns])*(pow(float(-1),float(columns)))*(m2.getDeterminant(m2)));
			}
		}
		return determinant;
	}
	else
	{
		cout<<"Error, the matrix is uneven, cannot determine the matrix, exiting program.";
		exit(1);
	}
}
template <class T>
MyMatrix<T>::MyMatrix()
{
	m_rows = 0;
	m_columns = 0;
	m_dpp = NULL;
}
template <class T>
MyMatrix<T>::MyMatrix(int rows, int columns)
{
	int i, j;
	T *dp;

	this->m_rows = rows;
	this->m_columns = columns;
	dp = new T[m_rows*m_columns];
	m_dpp = new T*[m_rows];

	for(i = 0;i < m_rows;i++)
		m_dpp[i] = dp+(i * m_columns);
	for(i = 0;i < m_rows;i++)
		for(j = 0;j < m_columns;j++)
			m_dpp[i][j] = 0;
}
template <class T>
MyMatrix<T>::MyMatrix(const MyMatrix<T>& m)
{
	int i, j;
	T *dp;

	this->m_rows = m.m_rows;
	this->m_columns = m.m_columns;
	dp = new T[m_rows*m_columns];
	m_dpp = new T*[m_rows];

	for(i = 0;i < m_rows;i++)
		m_dpp[i] = dp+(i * m_columns);
	for(i = 0;i < m_rows;i++)
		for(j = 0;j < m_columns;j++)
			m_dpp[i][j] = m.m_dpp[i][j];
}
template <class T>
MyMatrix<T>::~MyMatrix()
{
	if(m_dpp != NULL)
	{
		delete [] m_dpp[0];
		delete [] m_dpp;
	}
}
template <class T>
MyMatrix<T> MyMatrix<T>::operator=(const MyMatrix<T>& m)
{
	int i, j;

	if(this != &m)
	{
		if((m.m_rows == m_rows) && (m.m_columns == m_columns))
		{
			for(i = 0;i < m_rows;i++)
				for(j = 0;j < m_columns;j++)
					m_dpp[i][j] = m.m_dpp[i][j];
			return *this;
		}
		if(m_dpp != NULL)
		{
			delete [] m_dpp[0];
			delete [] m_dpp;
		}

		T* dp;
		this->m_rows = m.m_rows;
		this->m_columns = m.m_columns;
		dp = new T[m_rows*m_columns];
		m_dpp = new T*[m_rows];

		for(i = 0;i < m_rows;i++)
			m_dpp[i] = dp+(i * m_columns);
		for(i = 0;i < m_rows;i++)
			for(j = 0;j < m_columns;j++)
				m_dpp[i][j] = m.m_dpp[i][j];
	}
	return *this;
}
template <class T>
MyMatrix<T> MyMatrix<T>::operator+(const MyMatrix<T>& m2) const
{
	int i, j;

	if((m2.m_rows != m_rows) || (m2.m_columns != m_columns))
	{
		cout<<"Error, different rows and/or columns.\n"
			<<"Press enter to exit the program."<<flush;
		cin.get();
		cin.get();
		exit(1);
	}
	MyMatrix sum(m2.m_rows,m2.m_columns);
	for(i = 0;i < sum.m_rows;i++)
		for(j = 0;j < sum.m_columns;j++)
			sum.m_dpp[i][j] = m_dpp[i][j] + m2.m_dpp[i][j];
	return sum;
}
template <class T>
MyMatrix<T> MyMatrix<T>::operator-(const MyMatrix<T>& m2) const
{
	int i, j;

	if((m2.m_rows != m_rows) || (m2.m_columns != m_columns))
	{
		cout<<"Error, different rows and/or columns.\n"
			<<"Press enter to exit the program."<<flush;
		cin.get();
		cin.get();
		exit(1);
	}
	MyMatrix sum(m2.m_rows,m2.m_columns);
	for(i = 0;i < m2.m_rows;i++)
		for(j = 0;j < m2.m_columns;j++)
			sum.m_dpp[i][j] = m_dpp[i][j] - m2.m_dpp[i][j];
	return sum;
}
template <class T>
T* MyMatrix<T>::operator[](int i)
{
	if(i >= 0 && i < m_rows)
		return m_dpp[i];
	else
	{
		cout<<"Error, Out of Range. Press enter to exit the program."<<flush;
		cin.get();
		cin.get();
		exit(1);
	}
}
template <class T>
T* MyMatrix<T>::operator[](int i) const
{
	if(i >= 0 && i < m_rows)
		return m_dpp[i];
	else
	{
		cout<<"Error, Out of Range. Press enter to exit the program."<<flush;
		cin.get();
		cin.get();
		exit(1);
	}
}
template <class T>
void MyMatrix<T>::Read(istream& is)
{
	int i, j;
	int rows, columns;

	if(is == cin)
	{
		cout<<"Enter the number of rows: "<<flush;
		cin>>rows;
		cout<<"Enter the number of columns: "<<flush;
		cin>>columns;

		if((rows == m_rows) && (columns == m_columns))
		{
			for(i = 0;i < m_rows;i++)
			{
				for(j = 0;j < m_columns;j++)
				{
					cout<<"m["<<i<<"]"<<"["<<j<<"] = "<<flush;
					cin>>m_dpp[i][j];
				}
			}
		}
		else
		{
			if(m_dpp != NULL)
			{
				delete [] m_dpp[0];
				delete [] m_dpp;
			}

			m_rows = rows;
			m_columns = columns;

			T *dp;
			dp = new T[m_rows*m_columns];
			m_dpp = new T*[m_rows];

			for(i = 0;i < m_rows;i++)
				m_dpp[i] = dp + (i * m_columns);
			for(i = 0;i < m_rows;i++)
			{
				for(j = 0;j < m_columns;j++)
				{
					cout<<"m["<<i<<"]"<<"["<<j<<"] = "<<flush;
					cin>>m_dpp[i][j];
				}
			}
		}
	}
	else
	{
		is>>m_rows;
		is>>m_columns;

		if(m_dpp != NULL)
		{
			delete [] m_dpp[0];
			delete [] m_dpp;
		}

		T *dp;
		dp = new T[m_rows*m_columns];
		m_dpp = new T*[m_rows];

		for(i = 0;i < m_rows;i++)
			m_dpp[i] = dp + (i * m_columns);
		for(i = 0;i < m_rows;i++)
		{
			for(j = 0;j < m_columns;j++)
				is>>m_dpp[i][j];
		}
	}
}
template <class T>
void MyMatrix<T>::Write(ostream& os) const
{
	int i, j;

	if(os == cout)
	{
		if((m_rows == 0) || (m_columns == 0))
			cout<<"The matrix is empty.\n";

		for(i = 0;i < m_rows;i++)
		{
			if(i > 0)
				cout<<"\n\n";

			for(j = 0;j < m_columns;j++)
			{
				cout<<m_dpp[i][j]<<" ";
			}
			cout<<"\n";
		}
	}
	else
	{
		for(i = 0;i < m_rows;i++)
		{
			for(j = 0;j < m_columns;j++)
			{
				os<<m_dpp[i][j]<<"\n";
			}
		}
	}
}
template <class T>
istream& operator>>(istream& is, MyMatrix<T>& m)
{	
	m.Read(is);
	return is;
}
template <class T>
ostream& operator<<(ostream& os, const MyMatrix<T>& m)
{
	m.Write(os);
	return os;
}

MyMatrix.cpp

#include <iostream>
#include <cmath>
#include "MyMatrix.h"
using namespace std;

template <class T>
T MyMatrix<T>::getDeterminant(MyMatrix& m)
{
	int r, c;
	r = m.m_rows;
	c = m.m_columns;

	T determinant = 0.0;

	if(r == c)
	{
		if(r < 1)
		{
			cout<<"Less than one row and/or column";
			exit(1);
		}
		else if(r == 1)
		{
			return m[0][0];
		}
		else if(r == 2)
		{
			//cout<<"The determinant is: "<<((m[0][0]*m[1][1]) - (m[0][1]*m[1][0]));
			determinant = ((m[0][0]*m[1][1]) - (m[1][0]*m[0][1]));
			return determinant;
		}
		else
		{
			for(int columns = 0; columns < m.m_columns; columns++)
			{
				MyMatrix m2((m.m_rows-1),(m.m_columns-1));

				for(int subRows = 1; subRows < m.m_rows; subRows++)
				{
					int subColumns = 0;

					for(int i = 0; i < m.m_columns; i++)
					{
						if(i != columns)
						{
							m2[(subRows-1)][subColumns] = m[subRows][i];
							subColumns++;
						}
					}
				}
				determinant = determinant + ((m[0][columns])*(pow(float(-1),float(columns)))*(m2.getDeterminant(m2)));
			}
		}
		return determinant;
	}
	else
	{
		cout<<"Error, the matrix is uneven, cannot determine the matrix, exiting program.";
		exit(1);
	}
}
template <class T>
MyMatrix<T>::MyMatrix()
{
	m_rows = 0;
	m_columns = 0;
	m_dpp = NULL;
}
template <class T>
MyMatrix<T>::MyMatrix(int rows, int columns)
{
	int i, j;
	T *dp;

	this->m_rows = rows;
	this->m_columns = columns;
	dp = new T[m_rows*m_columns];
	m_dpp = new T*[m_rows];

	for(i = 0;i < m_rows;i++)
		m_dpp[i] = dp+(i * m_columns);
	for(i = 0;i < m_rows;i++)
		for(j = 0;j < m_columns;j++)
			m_dpp[i][j] = 0;
}
template <class T>
MyMatrix<T>::MyMatrix(const MyMatrix& m)
{
	int i, j;
	T *dp;

	this->m_rows = m.m_rows;
	this->m_columns = m.m_columns;
	dp = new T[m_rows*m_columns];
	m_dpp = new T*[m_rows];

	for(i = 0;i < m_rows;i++)
		m_dpp[i] = dp+(i * m_columns);
	for(i = 0;i < m_rows;i++)
		for(j = 0;j < m_columns;j++)
			m_dpp[i][j] = m.m_dpp[i][j];
}
template <class T>
MyMatrix<T>::~MyMatrix()
{
	if(m_dpp != NULL)
	{
		delete [] m_dpp[0];
		delete [] m_dpp;
	}
}
template <class T>
MyMatrix<T> MyMatrix<T>::operator=(const MyMatrix& m)
{
	int i, j;

	if(this != &m)
	{
		if((m.m_rows == m_rows) && (m.m_columns == m_columns))
		{
			for(i = 0;i < m_rows;i++)
				for(j = 0;j < m_columns;j++)
					m_dpp[i][j] = m.m_dpp[i][j];
			return *this;
		}
		if(m_dpp != NULL)
		{
			delete [] m_dpp[0];
			delete [] m_dpp;
		}

		T* dp;
		this->m_rows = m.m_rows;
		this->m_columns = m.m_columns;
		dp = new T[m_rows*m_columns];
		m_dpp = new T*[m_rows];

		for(i = 0;i < m_rows;i++)
			m_dpp[i] = dp+(i * m_columns);
		for(i = 0;i < m_rows;i++)
			for(j = 0;j < m_columns;j++)
				m_dpp[i][j] = m.m_dpp[i][j];
	}
	return *this;
}
template <class T>
MyMatrix<T> MyMatrix<T>::operator+(const MyMatrix& m2) const
{
	int i, j;

	if((m2.m_rows != m_rows) || (m2.m_columns != m_columns))
	{
		cout<<"Error, different rows and/or columns.\n"
			<<"Press enter to exit the program."<<flush;
		cin.get();
		cin.get();
		exit(1);
	}
	MyMatrix sum(m2.m_rows,m2.m_columns);
	for(i = 0;i < sum.m_rows;i++)
		for(j = 0;j < sum.m_columns;j++)
			sum.m_dpp[i][j] = m_dpp[i][j] + m2.m_dpp[i][j];
	return sum;
}
template <class T>
MyMatrix<T> MyMatrix<T>::operator-(const MyMatrix& m2) const
{
	int i, j;

	if((m2.m_rows != m_rows) || (m2.m_columns != m_columns))
	{
		cout<<"Error, different rows and/or columns.\n"
			<<"Press enter to exit the program."<<flush;
		cin.get();
		cin.get();
		exit(1);
	}
	MyMatrix sum(m2.m_rows,m2.m_columns);
	for(i = 0;i < m2.m_rows;i++)
		for(j = 0;j < m2.m_columns;j++)
			sum.m_dpp[i][j] = m_dpp[i][j] - m2.m_dpp[i][j];
	return sum;
}
template <class T>
T* MyMatrix<T>::operator[](int i)
{
	if(i >= 0 && i < m_rows)
		return m_dpp[i];
	else
	{
		cout<<"Error, Out of Range. Press enter to exit the program."<<flush;
		cin.get();
		cin.get();
		exit(1);
	}
}
template <class T>
T* MyMatrix<T>::operator[](int i) const
{
	if(i >= 0 && i < m_rows)
		return m_dpp[i];
	else
	{
		cout<<"Error, Out of Range. Press enter to exit the program."<<flush;
		cin.get();
		cin.get();
		exit(1);
	}
}
template <class T>
void MyMatrix<T>::Read(istream& is)
{
	int i, j;
	int rows, columns;

	if(is == cin)
	{
		cout<<"Enter the number of rows: "<<flush;
		cin>>rows;
		cout<<"Enter the number of columns: "<<flush;
		cin>>columns;

		if((rows == m_rows) && (columns == m_columns))
		{
			for(i = 0;i < m_rows;i++)
			{
				for(j = 0;j < m_columns;j++)
				{
					cout<<"m["<<i<<"]"<<"["<<j<<"] = "<<flush;
					cin>>m_dpp[i][j];
				}
			}
		}
		else
		{
			if(m_dpp != NULL)
			{
				delete [] m_dpp[0];
				delete [] m_dpp;
			}

			m_rows = rows;
			m_columns = columns;

			T *dp;
			dp = new T[m_rows*m_columns];
			m_dpp = new T*[m_rows];

			for(i = 0;i < m_rows;i++)
				m_dpp[i] = dp + (i * m_columns);
			for(i = 0;i < m_rows;i++)
			{
				for(j = 0;j < m_columns;j++)
				{
					cout<<"m["<<i<<"]"<<"["<<j<<"] = "<<flush;
					cin>>m_dpp[i][j];
				}
			}
		}
	}
	else
	{
		is>>m_rows;
		is>>m_columns;

		if(m_dpp != NULL)
		{
			delete [] m_dpp[0];
			delete [] m_dpp;
		}

		T *dp;
		dp = new T[m_rows*m_columns];
		m_dpp = new T*[m_rows];

		for(i = 0;i < m_rows;i++)
			m_dpp[i] = dp + (i * m_columns);
		for(i = 0;i < m_rows;i++)
		{
			for(j = 0;j < m_columns;j++)
				is>>m_dpp[i][j];
		}
	}
}
template <class T>
void MyMatrix::Write(ostream& os) const
{
	int i, j;

	if(os == cout)
	{
		if((m_rows == 0) || (m_columns == 0))
			cout<<"The matrix is empty.\n";

		for(i = 0;i < m_rows;i++)
		{
			if(i > 0)
				cout<<"\n\n";

			for(j = 0;j < m_columns;j++)
			{
				cout<<m_dpp[i][j]<<" ";
			}
		}
	}
	else
	{
		for(i = 0;i < m_rows;i++)
		{
			for(j = 0;j < m_columns;j++)
			{
				os<<m_dpp[i][j]<<"\n";
			}
		}
	}
}
template <class T>
istream& operator>>(istream& is, MyMatrix<T>& m)
{	
	m.Read(is);
	return is;
}
template <class T>
ostream& operator<<(ostream& os, const MyMatrix<T>& m)
{
	m.Write(os);
	return os;
}

Main.cpp

#include <iostream>
#include <string>
#include <cmath>
using namespace std;

template <class T>
class MyMatrix
{
public:
	MyMatrix();
	MyMatrix(const MyMatrix<T>& m);
	MyMatrix(int rows, int columns);
	~MyMatrix();
	MyMatrix operator+(const MyMatrix<T>& m2) const;
	MyMatrix operator-(const MyMatrix<T>& m2) const;
	MyMatrix operator=(const MyMatrix<T>& m);
	T* operator[](int i);
	T* operator[](int i) const;
	T getDeterminant(MyMatrix<T>& m);
	void Read(istream& is);
	void Write(ostream& os) const;
private:
	T **m_dpp;
	int m_rows;
	int m_columns;
};
template <class T>
istream& operator>>(istream& is, MyMatrix<T>& m);
template <class T>
ostream& operator<<(ostream& os, const MyMatrix<T>& m);
void main()
{

	MyMatrix<int>m1;
	MyMatrix<double>m2;
	MyMatrix<float>m3;
	m1.getDeterminant(m1);

	cout<<"Before entering data in to MyMatrix<int>m1.\n"<<flush;
	cin>>m1;
	cout<<"\nPrinting out m1.\n"<<flush;
	cout<<m1;
	MyMatrix<int>m4(m1);
	cout<<"\nAfter m4(m1).\n"<<flush;
	cout<<m4;
	cout<<"\nBefore entering data in to MyMatrix<double>m2.\n"<<flush;
	cin>>m2;
	cout<<"\nPrinting out m2.\n"<<flush;
	cout<<m2;
	cout<<"\nBefore entering data in to MyMatrix<float>m3.\n"<<flush;
	cin>>m3;
	cout<<"\nPrinting out m3.\n"<<flush;
	cout<<m3;
	MyMatrix<float>m6 = m3;
	cout<<"\nAfter m6 = m3.\n"<<flush;
	cout<<m6;
	cout<<"\nEnd of program reached.\n"<<flush;
	cin.get();
}

template <class T>
T MyMatrix<T>::getDeterminant(MyMatrix<T>& m)
{
	int r, c;
	r = m.m_rows;
	c = m.m_columns;

	T determinant/* = 0.0*/;

	if(r == c)
	{
		if(r < 1)
		{
			cout<<"Less than one row and/or column";
			exit(1);
		}
		else if(r == 1)
		{
			return m[0][0];
		}
		else if(r == 2)
		{
			//cout<<"The determinant is: "<<((m[0][0]*m[1][1]) - (m[0][1]*m[1][0]));
			determinant = ((m[0][0]*m[1][1]) - (m[1][0]*m[0][1]));
			return determinant;
		}
		else
		{
			for(int columns = 0; columns < m.m_columns; columns++)
			{
				MyMatrix m2((m.m_rows-1),(m.m_columns-1));

				for(int subRows = 1; subRows < m.m_rows; subRows++)
				{
					int subColumns = 0;

					for(int i = 0; i < m.m_columns; i++)
					{
						if(i != columns)
						{
							m2[(subRows-1)][subColumns] = m[subRows][i];
							subColumns++;
						}
					}
				}
				determinant = determinant + ((m[0][columns])*(pow(float(-1),float(columns)))*(m2.getDeterminant(m2)));
			}
		}
		return determinant;
	}
	else
	{
		cout<<"Error, the matrix is uneven, cannot determine the matrix, exiting program.";
		exit(1);
	}
}
template <class T>
MyMatrix<T>::MyMatrix()
{
	m_rows = 0;
	m_columns = 0;
	m_dpp = NULL;
}
template <class T>
MyMatrix<T>::MyMatrix(int rows, int columns)
{
	int i, j;
	T *dp;

	this->m_rows = rows;
	this->m_columns = columns;
	dp = new T[m_rows*m_columns];
	m_dpp = new T*[m_rows];

	for(i = 0;i < m_rows;i++)
		m_dpp[i] = dp+(i * m_columns);
	for(i = 0;i < m_rows;i++)
		for(j = 0;j < m_columns;j++)
			m_dpp[i][j] = 0;
}
template <class T>
MyMatrix<T>::MyMatrix(const MyMatrix<T>& m)
{
	int i, j;
	T *dp;

	this->m_rows = m.m_rows;
	this->m_columns = m.m_columns;
	dp = new T[m_rows*m_columns];
	m_dpp = new T*[m_rows];

	for(i = 0;i < m_rows;i++)
		m_dpp[i] = dp+(i * m_columns);
	for(i = 0;i < m_rows;i++)
		for(j = 0;j < m_columns;j++)
			m_dpp[i][j] = m.m_dpp[i][j];
}
template <class T>
MyMatrix<T>::~MyMatrix()
{
	if(m_dpp != NULL)
	{
		delete [] m_dpp[0];
		delete [] m_dpp;
	}
}
template <class T>
MyMatrix<T> MyMatrix<T>::operator=(const MyMatrix<T>& m)
{
	int i, j;

	if(this != &m)
	{
		if((m.m_rows == m_rows) && (m.m_columns == m_columns))
		{
			for(i = 0;i < m_rows;i++)
				for(j = 0;j < m_columns;j++)
					m_dpp[i][j] = m.m_dpp[i][j];
			return *this;
		}
		if(m_dpp != NULL)
		{
			delete [] m_dpp[0];
			delete [] m_dpp;
		}

		T* dp;
		this->m_rows = m.m_rows;
		this->m_columns = m.m_columns;
		dp = new T[m_rows*m_columns];
		m_dpp = new T*[m_rows];

		for(i = 0;i < m_rows;i++)
			m_dpp[i] = dp+(i * m_columns);
		for(i = 0;i < m_rows;i++)
			for(j = 0;j < m_columns;j++)
				m_dpp[i][j] = m.m_dpp[i][j];
	}
	return *this;
}
template <class T>
MyMatrix<T> MyMatrix<T>::operator+(const MyMatrix<T>& m2) const
{
	int i, j;

	if((m2.m_rows != m_rows) || (m2.m_columns != m_columns))
	{
		cout<<"Error, different rows and/or columns.\n"
			<<"Press enter to exit the program."<<flush;
		cin.get();
		cin.get();
		exit(1);
	}
	MyMatrix sum(m2.m_rows,m2.m_columns);
	for(i = 0;i < sum.m_rows;i++)
		for(j = 0;j < sum.m_columns;j++)
			sum.m_dpp[i][j] = m_dpp[i][j] + m2.m_dpp[i][j];
	return sum;
}
template <class T>
MyMatrix<T> MyMatrix<T>::operator-(const MyMatrix<T>& m2) const
{
	int i, j;

	if((m2.m_rows != m_rows) || (m2.m_columns != m_columns))
	{
		cout<<"Error, different rows and/or columns.\n"
			<<"Press enter to exit the program."<<flush;
		cin.get();
		cin.get();
		exit(1);
	}
	MyMatrix difference(m2.m_rows,m2.m_columns);
	for(i = 0;i < m2.m_rows;i++)
		for(j = 0;j < m2.m_columns;j++)
			difference.m_dpp[i][j] = m_dpp[i][j] - m2.m_dpp[i][j];
	return difference;
}
template <class T>
T* MyMatrix<T>::operator[](int i)
{
	if(i >= 0 && i < m_rows)
		return m_dpp[i];
	else
	{
		cout<<"Error, Out of Range. Press enter to exit the program."<<flush;
		cin.get();
		cin.get();
		exit(1);
	}
}
template <class T>
T* MyMatrix<T>::operator[](int i) const
{
	if(i >= 0 && i < m_rows)
		return m_dpp[i];
	else
	{
		cout<<"Error, Out of Range. Press enter to exit the program."<<flush;
		cin.get();
		cin.get();
		exit(1);
	}
}
template <class T>
void MyMatrix<T>::Read(istream& is)
{
	int i, j;
	int rows, columns;

	if(is == cin)
	{
		cout<<"Enter the number of rows: "<<flush;
		cin>>rows;
		cout<<"Enter the number of columns: "<<flush;
		cin>>columns;

		if((rows == m_rows) && (columns == m_columns))
		{
			for(i = 0;i < m_rows;i++)
			{
				for(j = 0;j < m_columns;j++)
				{
					cout<<"m["<<i<<"]"<<"["<<j<<"] = "<<flush;
					cin>>m_dpp[i][j];
				}
			}
		}
		else
		{
			if(m_dpp != NULL)
			{
				delete [] m_dpp[0];
				delete [] m_dpp;
			}

			m_rows = rows;
			m_columns = columns;

			T *dp;
			dp = new T[m_rows*m_columns];
			m_dpp = new T*[m_rows];

			for(i = 0;i < m_rows;i++)
				m_dpp[i] = dp + (i * m_columns);
			for(i = 0;i < m_rows;i++)
			{
				for(j = 0;j < m_columns;j++)
				{
					cout<<"m["<<i<<"]"<<"["<<j<<"] = "<<flush;
					cin>>m_dpp[i][j];
				}
			}
		}
	}
	else
	{
		is>>m_rows;
		is>>m_columns;

		if(m_dpp != NULL)
		{
			delete [] m_dpp[0];
			delete [] m_dpp;
		}

		T *dp;
		dp = new T[m_rows*m_columns];
		m_dpp = new T*[m_rows];

		for(i = 0;i < m_rows;i++)
			m_dpp[i] = dp + (i * m_columns);
		for(i = 0;i < m_rows;i++)
		{
			for(j = 0;j < m_columns;j++)
				is>>m_dpp[i][j];
		}
	}
}
template <class T>
void MyMatrix<T>::Write(ostream& os) const
{
	int i, j;

	if(os == cout)
	{
		if((m_rows == 0) || (m_columns == 0))
			cout<<"The matrix is empty.\n";

		for(i = 0;i < m_rows;i++)
		{
			if(i > 0)
				cout<<"\n\n";

			for(j = 0;j < m_columns;j++)
			{
				cout<<m_dpp[i][j]<<" ";
			}
			cout<<"\n";
		}
	}
	else
	{
		for(i = 0;i < m_rows;i++)
		{
			for(j = 0;j < m_columns;j++)
			{
				os<<m_dpp[i][j]<<"\n";
			}
		}
	}
}
template <class T>
istream& operator>>(istream& is, MyMatrix<T>& m)
{	
	m.Read(is);
	return is;
}
template <class T>
ostream& operator<<(ostream& os, const MyMatrix<T>& m)
{
	m.Write(os);
	return os;
}
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