C Program You may be interested in this problem if you have

C++ Program

You may be interested in this problem if you have taken or are taking MATH 2090. Create a class Matrix with floating-point fields int **A, int n, and int m. Create the constructor: Matrix::Matrix(int **A, int n, int m) as well as the methods Matrix Matrix::add(Matrix B) Matrix Matrix::mul(Matrix B) which can perform addition and multiplication of matrices. Call the header matrix.h and the source matrix.cpp, and the demonstration file matrix-ops.cpp. Transposition, reflection. Additional points if you define functions: Matrix Matrix::transpose(Matrix B) Matrix Matrix::reflect(Matrix B) which obtain the transpose and reflection of a matrix. Make it generic and overload operators. As with the vector problem above, additional points if you make the class generic. Also, instead of defining add, overload +; and instead of mul, overload *. Demonstrate these in matrix-ops .cpp. If you did reflect, overload -, and for transpose, overload !.

Solution

Code:

Matrix.h

#ifndef MATRIX
#define MATRIX

class Matrix
{
  
   int **A;
   int n;
   int m;
   public:
   Matrix(int n, int m);
   Matrix add(Matrix B);
   Matrix Matrix :: mul(Matrix B);
   void input();
   void display();
  
};
#endif

Matrix.cpp

#include<iostream>
using namespace std;
#include\"Matrix.h\"
Matrix:: Matrix(int nn, int mn)
{
   m = mn;
n = nn;
A = new int*[m];
for (int i = 0; i < m; i++)
   A[i] = new int[n];
}
Matrix Matrix :: add(Matrix B)
{
   Matrix C(n,m);
   for (int i = 0; i < n; ++i)
   {
       for(int j=0;j<m;j++)
           C.A[i][j]=A[i][j]+B.A[i][j];
   }
   return C;
      
}
Matrix Matrix :: mul(Matrix B)
{
   Matrix T(n,m);
    T.n=n;
    T.m=B.m;
    for(int i=0; i<T.n; i++)
    for(int j=0; j<T.m; j++)
    {
       T.A[i][j]=0;
       {   
      
       for (int k=0; k<T.m; k++)
       {
           T.A[i][j] += A[i][k]*B.A[k][j];
       }
       }
    }
    return T;  
}
void Matrix :: input()
{
cout<<\"Enter matrix elements:\ \";
for(int i = 0; i < n; i++)
{
   for(int j = 0; j < m; j++)
   {
   cin >> A[i][j];
   }
}
}
void Matrix :: display()
{
cout <<\"The matrix:\ \";
for(int i = 0; i < m; i++)
{
   cout <<endl;
   for(int j = 0; j < n; j++)
   {
   cout << A[i][j] <<\" \";
   }
}
}

main.cpp

#include<iostream>
using namespace std;
#include\"Matrix.h\"
int main()
{
   Matrix D(3,3),E(3,3);
   D.input();
   E.input();
   D.display();
   E.display();
   D=D.add(E);
   D.display();
   D=D.mul(E);
   D.display();
   system(\"pause\");

}

Output:

Enter matrix elements:
1
1
1
1
1
1
1
1
1
Enter matrix elements:
1
1
1
1
1
1
1
1
1
The matrix:

1 1 1
1 1 1
1 1 1 The matrix:

1 1 1
1 1 1
1 1 1 The matrix:

2 2 2
2 2 2
2 2 2 The matrix:

6 6 6
6 6 6
6 6 6 Press any key to continue . . .