Chapter 3, Problem 2P

Explanation of Solution

Program code:

//include the header files

#include <iostream>

#include <cstdlib>

//use std namespce

using namespace std;

//define a class matrix

class matrix

{

//class member variables

int **p, m, n;

public:

// constructor

matrix(int row, int col)

{

//set the value of m.

m = row;

//set the value of n.

n = col;

//create the matrix

p = new int*[m];

//iterate a for loop

for (int i = 0; i < m; i++)

//set the size of matrix

p[i] = new int[n];

}

// destructor

~matrix()

{

//iterate a for loop

for (int i = 0; i < m; i++)

//delete the matrix

delete p[i];

delete p;

}

// function to take user input

void matrixInput()

{

//prompt the user to enter the elements

cout<<"Enter matrix elements:";

//iterate a for loop

for(int i = 0; i < m; i++)

{

//iterate a for loop

for(int j = 0; j < n; j++)

{

//scan for the input

cin >> p[i][j];

}

}

}

//method to display matrix

void display()

{

//print the statement

cout <<"The matrix is:";

//iterate a for loop

for(int i = 0; i < m; i++)

{

cout <<endl;

//iterate a for loop

for(int j = 0; j < n; j++)

{

//print the elements

cout << p[i][j] <<" ";

}

}

cout<<endl;

}

// overloading + operator

matrix operator +(matrix &m2)

{

//create object of matrix

matrix T(m, n);

//iterate a for loop

for(int i = 0; i < m; i++)

{

//iterate a for loop

for(int j = 0; j < n; j++)

{

//add the values of maxices

T.p[i][j] = p[i][j] + m2.p[i][j];

}

}

//return the value of T

return T;

}

// overloading * operator

matrix operator *(matrix &b)

{

//create the object of matrix

matrix T(m, b.n);

//if the condition is true

if(n == b.m)

{

//create matrix

matrix T(m, b.n);

//iterate a for loop

for(int i = 0; i < m; i++)

{

//iterate a for loop

for(int k = 0; k < b.n; k++)

{

//set the value of p[i][k]

T.p[i][k] = 0;

//iterate a for loop

for(int j = 0; j < n; j++)

{

//multiply the values and add to the array

T.p[i][k]+= p[i][j] * b.p[j][k];

}

}

}

}

//retun T

return T;

}

};

int main()

{

//call the constructor

matrix m1(2,2);

matrix m2(2,2);

//call the method matrixInput()

m1...