Question

create a class matrix.Let U and V be the two matrices of type Int and number of rows and columns are user defined.
Write the following member functions of the class
a) Add
Add the two matrices U and V. For this, add the corresponding entries, and place their sum in the
corresponding index of the result matrix.
b) Subtract
Subtract the two matrices U and V. For this, subtract the corresponding entries, and place this answer in
the corresponding index of the result matrix.
c) Multiply
Multiply the two matrices U and V. In matrix multiplication, one row element of the first matrix is
multiplied by all column elements of second matrix and place result in matrix

Answer 1

#include<iostream>

using namespace std;

class Matrix
{
  private:
    int U[10][10], V[10][10], Sum[10][10], Diff[10][10], Pdt[10][10];
    int r1, c1, r2, c2;

 public:
 // Read matrix U and V
  void Read()
  {
      cout << "Enter number of rows of matrix U : ";
      cin >> r1;
      cout << "Enter number of columns of matrix U : ";
      cin >> c1;

      cout << "Enter elements of matrix U : " << endl;
      for(int i=0; i<r1; i++) {
        cout << "Enter elements of row " << i+1  << endl;
        for(int j=0; j<c1; j++) {
            cin >> U[i][j];
        }
      }

      cout << "Enter number of rows of matrix V : ";
      cin >> r2;
      cout << "Enter number of columns of matrix V : ";
      cin >> c2;

      cout << "Enter elements of matrix V : " << endl;
      for(int i=0; i<r2; i++) {
        cout << "Enter elements of row " << i+1  << endl;
        for(int j=0; j<c2; j++) {
            cin >> V[i][j];
        }
      }
  }

// ADD matrix U and V
  void Add()
  {
     if(r1 == r2 && c1== c2) {

          for(int i=0; i<r1; i++) {
            for(int j=0; j<c1; j++) {
                Sum[i][j] = U[i][j] + V[i][j];
            }
          }

          cout << "\n SUM OF U & V is " << endl;
          for(int i=0; i<r1; i++) {
                cout << endl;
            for(int j=0; j<c1; j++) {
                cout << "\t" << Sum[i][j] ;
            }
          }

     } else {
         cout << "\n Can't add Matrices U and V" << endl;
     }

  }

// SUBTRACT matrix U and V
  void Subtract()
  {
    if(r1 == r2 && c1== c2) {

          for(int i=0; i<r1; i++) {
            for(int j=0; j<c1; j++) {
                Diff[i][j] = U[i][j] - V[i][j];
            }
          }

          cout << "\n DIFFERENCE OF U & V is " << endl;
          for(int i=0; i<r1; i++) {
                cout << endl;
            for(int j=0; j<c1; j++) {
                cout << "\t" << Diff[i][j];
            }
          }

     } else {
         cout << "\n Can't subtract Matrices U and V" << endl;
     }
  }

// MULTIPLY matrix U and V
  void Multiply()
  {
    if(r2 == c1) {

          for(int i=0; i<r1; i++) {
            for(int j=0; j<c2; j++) {
               Pdt[i][j] = 0;
                for(int k=0; k<r1; k++) {
                  Pdt[i][j] = Pdt[i][j] + (U[i][k] * V[k][j]);
                }
            }
          }

          cout << "\n PRODUCT OF U & V is " << endl;
          for(int i=0; i<r1; i++) {
                cout << endl;
            for(int j=0; j<c2; j++) {
                cout << "\t" << Pdt[i][j];
            }
          }

     } else {
         cout << "\n Can't multiply Matrices U and V" << endl;
     }

  }

};

// main function
int main()
{
  Matrix m;
  m.Read();
  m.Add();
  m.Subtract();
  m.Multiply();

  return 0;
}

SAMPLE OUTPUT