Question

Write a C++ program to define a class having a 4x4 matrix. Generate 32 random numbers 1-10, in an output.txt file. Fill the generated numbers in two such class objects (first 16 numbers in one matrix and next 16 numbers in another. Create member functions each for adding, subtracting and multiplication of matrices. Write the algorithm defining steps of your program.

Answer 1

ANSWER:

GIVEN THAT:

Program:

#include <iostream>

#include <iomanip>

#include <cstdlib>

#include <fstream>

#include <ctime>

using namespace std;

class Matrix

{

public:

int mat[4][4];

Matrix() {}

Matrix *addition(Matrix *m2)

{

Matrix *res = new Matrix();

int i, j;

for (i = 0; i < 4; i++)

{

for (j = 0; j < 4; j++)

{

res->mat[i][j] = mat[i][j] + m2->mat[i][j];

}

}

return res;

}

Matrix *subtract(Matrix *m2)

{

Matrix *res = new Matrix();

int i, j;

for (i = 0; i < 4; i++)

{

for (j = 0; j < 4; j++)

{

res->mat[i][j] = mat[i][j] - m2->mat[i][j];

}

}

return res;

}

Matrix *muplication(Matrix *m2)

{

Matrix *res = new Matrix();

int i, j, k;

for (i = 0; i < 4; i++)

{

for (j = 0; j < 4; j++)

{

int sum = 0;

for (k = 0; k < 4; k++)

{

sum += mat[i][k] + m2->mat[k][j];

}

res->mat[i][j] = sum;

}

}

return res;

}

void print()

{

int i, j;

for (i = 0; i < 4; i++)

{

for (j = 0; j < 4; j++)

{

cout << setw(4) << mat[i][j];

}

cout << endl;

}

}

};

int main()

{

srand(time(NULL));

ofstream out("output.txt");

int i = 0, j;

while (i < 32)

{

out << (rand() % 10) + 1 << endl;

i++;

}

out.close();

ifstream in("output.txt");

if (in.is_open())

{

Matrix *mat1 = new Matrix();

Matrix *mat2 = new Matrix();

for (i = 0; i < 4; i++)

{

for (j = 0; j < 4; j++)

{

in >> mat1->mat[i][j];

}

}

for (i = 0; i < 4; i++)

{

for (j = 0; j < 4; j++)

{

in >> mat2->mat[i][j];

}

}

cout << "Matrix-1:" << endl;

mat1->print();

cout << "Matrix-2:" << endl;

mat2->print();

cout << "Addition of Matrix-1 and Matrix-2: " << endl;

Matrix *addition = mat1->addition(mat2);

addition->print();

cout << "Substraction of Matrix-1 and Matrix-2: " << endl;

Matrix *subtract = mat1->subtract(mat2);

subtract->print();

cout << "Multiplication of Matrix-1 and Matrix-2: " << endl;

Matrix *multiplication = mat1->muplication(mat2);

multiplication->print();

}

else

{

cout << "Error opening file" << endl;

}

}