MATRIX MULTIPLICATION USING FRIEND FUNCTIONS

MATRIX MULTIPLICATION USING FRIEND FUNCTIONS

AIM:

To write a program for matrix multiplication using friend functions using C++.

ALGORITHM:

Step 1: Start the program.

Step 2: Create a class Matrix with two matrix array as data member and a function as their member function.

Step 3: Declare a function multiply as a friend function for the class matrix.get the value of the given two matrix using a member function.

Step 4: Calculate the matrix multiplication using friend function. The friend function is called in the main function without the help of the object and object as its arguments.

Step 5: Display the resultant matrix.

Step 6: Stop the program.

PROGRAM

#include<iostream.h>

#include<conio.h>

class matrix

{

int a[5][5],b[5][5],d[5][5];

int i,j,k,l,m,r,c;

public:

void get();

friend void multiply(matrix m1);

};

void matrix::get()

{

cout<<"\n Enter the dimension (n*m) of the first matrix:";

cin>>r>>c;

cout<<"\n Enter "<< r*c <<" element:";

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

{

 for(j=0;j<c;j++)

 {

  cin>>a[i][j];

 }

}

cout<<"\n The value of the first matrix:";

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

{

cout<<"\n";

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

{

cout<<a[i][j]<<"\t";

}

}

}

void multiply(matrix m1)

{

int i,j,k;

char ch='y';

do

{

cout<<"\n Enter the dimension (n*m) for the second matrix:";

cin>>m1.l>>m1.m;

cout<<"\n Enter "<< m1.l*m1.m <<" element:";

for(i=0;i<m1.l;i++)

{

 for(j=0;j<m1.m;j++)

 {

  cin>>m1.b[i][j];

 }

}

cout<<"\n The value of the second matrix:";

for(i=0;i<m1.l;i++)

{

cout<<"\n";

for(j=0;j<m1.m;j++)

{

cout<<m1.b[i][j]<<"\t";

}

}

if(m1.r==m1.m)

{

for(i=0;i<m1.l;i++)

{

 for(j=0;j<m1.m;j++)

 {

  m1.d[i][j]=0;

  for(k=0;k<m1.m;k++)

  m1.d[i][j]=m1.a[i][k]*m1.b[k][j]+m1.d[i][j];

 }

}

cout<<"\n Resultant Matrix:";

for(i=0;i<m1.l;i++)

{

 cout<<"\n";

 for(j=0;j<m1.m;j++)

 cout<<m1.d[i][j]<<"\t";

 }

}

else

cout<<"\n Rows and Columns are inequal; Muliplication is not possible";

cout<<"\n Do you want to multiply one more matrix:";

cin>>ch;

}

while(ch=='y');

}

void main()

{

clrscr();

matrix m1;

m1.get();

multiply(m1);

getch();

}

OUTPUT:

 Enter the dimension (n*m) of the first matrix: 2 2

 Enter 4 element:1 2 3 4

 The value of the first matrix:

1       2

3       4

 Enter the dimension (n*m) for the second matrix: 2 2

 Enter 4 element:4 5 6 7

 The value of the second matrix:

4       5

6       7

 Resultant Matrix:

16      19

36      43

 Do you want to multiply one more matrix: n

RESULT:

Thus the program for matrix multiplication using friend functions was written and executed.