Product Of Two MATRICES:

Read two matrices and perform multiplication operation on them. Validate your input and processing through proper checks.

Coding:

// Multiplication of Matrices.cpp : Defines the entry point for the console application.
// This program finds the product of 2 matrices entered by the user.
// Compiler : Dev C++
// Dated : 06-Jan-2015

// **********************************************************************

#include "stdafx.h"   //this header file is used for Visual Studio not for other compilers
#include <iostream>
#include <iomanip>
using namespace std;
#define SIZE 10       //SIZE of ARRAYS
int flag=1; //flag variable
//function(s) declaration
void input(int [][SIZE], int [][SIZE], const int&, const int&, const int&);
void process(int [][SIZE], int [][SIZE], int [][SIZE], const int&, const int&, const int&);
void display(int [][SIZE], int [][SIZE], int [][SIZE], const int&, const int&, const int&);
int main()
{
system("color f0");//for changing the color of output screen
//declaration of ARRAYS
int a[SIZE][SIZE], b[SIZE][SIZE], c[SIZE][SIZE];
//declaration of variables
int m,n,x,y;
cout<<"Rule for Multiplication of matrices : \n\nNumber of COLUMNS of Matrix 'A' must be equal to Number of ROWS of Matrix 'B'."<<endl<<endl;
//input 
do
{
cout<<"\n\nEnter the Number of ROWS of Matrix 'A' [Max. 10] : "; cin>>m;
if((m>=1)&&(m<=10))
break;
else
cout<<"Invalid Input...."<<endl;
} while (1);
do
{
cout<<"Enter the Number of COLUMNS of Matrix 'A' [Max. 10] : "; cin>>n;
if((n>=1)&&(n<=10))
break;
else
cout<<"Invalid Input...."<<endl;
}
 while (1);
do
{
cout<<"\nEnter the Number of ROWS of Matrix 'B' [Max. 10] : "; cin>>x;

if((x>=1)&&(x<=10))
break;
else
cout<<"Invalid Input...."<<endl;
}
 while (1);
do
{
cout<<"Enter the Number of COLUMNS of Matrix 'B' [Max. 10] : "; cin>>y;
if((y>=1)&&(y<=10))
break;
else
cout<<"Invalid Input...."<<endl;
}
 while (1);
if(n==x)
input(a,b,m,n,y); //function calling
else
{
cout<<"Multiplication is not possible"<<endl;
flag=0; //flag variable is given 0 value now program will not be executed anymore.
}//end of else
//processing
if(flag)
process(a,b,c,m,n,y); //function calling
//output
if(flag)
display(a,b,c,m,n,y); //function calling
cout<<endl<<endl;
system("pause");
return 0;
}//end of main
void input(int aa[][SIZE], int bb[][SIZE], const int& mm, const int& nn, const int& yy)
{
system("cls");
cout<<"\t \tFor Matrix 'A'\n\n";
for(int i=0; i<mm; i++)
{
for(int j=0; j<nn; j++)
{
cout<<"Enter Element at ROW "<<i+1<<" and COLUMN "<<j+1<<" : ";
cin>>aa[i][j];
}          //end of nested for
}         //end of for
cout<<"\n\n\t\tFor Matrix 'B'\n\n";
for(int k=0; k<nn; k++) //because n==x
{
for(int l=0; l<yy; l++)
{
cout<<"Enter Element at ROW "<<k+1<<" and COLUMN "<<l+1<<" : ";
cin>>bb[k][l];
}        //end of nested for
}     //end of for
}  //end of input
void process(int aa[][SIZE], int bb[][SIZE], int cc[][SIZE], const int& mm, const int& nn, const int& yy)
{
for(int i=0; i<mm; i++)
{
for(int j=0; j<yy; j++)
{
cc[i][j]=0;
for(int k=0; k<nn; k++)
cc[i][j]=cc[i][j]+(aa[i][k]*bb[k][j]);
}    / /end of nested for
}   //end of for
}  //end of process
void display(int aa[][SIZE], int bb[][SIZE], int cc[][SIZE], const int& mm, const int& nn, const int& yy)
{
system("cls");
cout<<"Matrix 'A' of the order "<<mm<<"x"<<nn<<" =\n\n";
for (int i=0; i<mm; i++)
{
for(int j=0; j<nn; j++)
cout<<setw(8)<<aa[i][j];
cout<<endl;
}     //end of for
cout<<"\n\nMatrix 'B' of the order "<<nn<<"x"<<yy<<" =\n\n";
for(int k=0; k<nn; k++) //because n==x
{
for(int l=0; l<yy; l++)
cout<<setw(8)<<bb[k][l];
cout<<endl;
}     //end of for
cout<<"\n\n\nTheir Product 'AxB' of the order "<<mm<<"x"<<yy<<" =\n\n";
for(int p=0; p<mm; p++)
{
for(int q=0; q<yy; q++)
cout<<setw(8)<<cc[p][q];
cout<<endl;
}           //end of for
}          //end of display

Output Screen screenshot: