Multiplication of matrices by C++ Programme

Multiplication of matrices by C++ Programme:

THEORY:

The number of columns of the 1st matrix must equal to the number of rows of the 2nd matrix & the result will have the same number of rows as the 1st matrix, and the same number of columns as the 2nd matrix.

The product of two matrices A & B is defined as 

 

CODING:

#include<iostream.h>

#include<conio.h>

#include<math.h>

void main()

{

int a[3][3],b[3][3],c[3][3];

int i,j,k,sum;

clrscr();

cout<<"Enter the elements of 1st matrix:\n";

for(i=0;i<=2;i++)

{

for(j=0;j<=2;j++)

{

cin>>a[i][j];

}

}

cout<<"Enter the elements of 2nd matrix:\n";

for(i=0;i<=2;i++)

{

for(j=0;j<=2;j++)

{

cin>>b[i][j];

}

}

cout<<"The 1st matrix is :\n";

for(i=0;i<=2;i++)

{

for(j=0;j<=2;j++)

{

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

}

cout<<endl;

}

cout<<"The 2nd matrix is :\n";

for(i=0;i<=2;i++)

{

for(j=0;j<=2;j++)

{

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

}

cout<<endl;

}

for (i=0;i<=2;i++)

{

for(j=0;j<=2;j++)

{

     sum=0;

     for(k=0;k<=2;k++)

     {

     sum=sum+a[i][k]*b[k][j];

     c[i][j]=sum;}

}

}

cout<<"The product of the two matrices is:\n";

for(i=0;i<=2;i++)

{

for(j=0;j<=2;j++)

{

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

}

cout<<endl;

}

cout<<"\n Press any key to exit:";

getch();

}

OUTPUT:

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