Multiply Two Matrix

Multiply two matrix” is a standard operation which can be applied over two or more matrices. Here, we are given two matrices of dimension r1*c1 and r2*c2 respectively. Our task is to multiply the following matrices and store the result in resultant matrix.

CONDITION : The two matrices can only be added if the number of rows of first matrix is equal to number of columns of second matrix.

Example:

R1 = 2, C1 =3

R2 = 3 C2 = 2

123
123
Matrix 1

45
45
45
Matrix 2

2430
2430
Resultant Matrix

C++ Program to multiply two matrix is as follows:

/* Program to multiply Two Matrix */
#include<bits/stdc++.h>  
using namespace std;  
int main()  
{  
    int r1,c1,r2,c2;  
    // Scan Dimensions of the matrix  
    cout<<"Enter the dimensions of first matrix:\n";  
    cin>>r1>>c1;  
    cout<<"Enter the dimensions of second matrix:\n";  
    cin>>r2>>c2;  
      
    int first[r1][c1];  
    int second[r2][c2];  
    int resultant[r1][c2];  
      
    // Scan Matrix1 Elements  
    cout<<"Enter the elements of first matrix:\n";  
    for(int i = 0 ; i < r1 ; i++)  
    for(int j = 0 ; j < c1 ; j++)  
    cin>>first[i][j];  
      
    // Scan Matrix2 Elements  
    cout<<"Enter the elements of second matrix:\n";  
    for(int i = 0 ; i < r2 ; i++)  
    for(int j = 0 ; j < c2 ; j++)  
    cin>>second[i][j];  
      
      
    // Initialize the resultant matrix with 0  
    for(int i = 0 ; i < r1 ; i++)  
    for(int j = 0 ; j < c2 ; j++)  
    resultant[i][j] = 0;  
      
    // Multiply matrix  
    for (int i = 0; i < r1; ++i) {  
        for (int j = 0; j < c2; ++j) {  
            for (int k = 0; k < c1; ++k) {  
                resultant[i][j] += first[i][k] * second[k][j];  
            }  
        }  
    }  
      
    //Print Resultant matrix  
    cout<<"The Resultant Matrix is:\n";  
    for(int i = 0 ; i < r1 ; i++)  
    {  
        for(int j = 0 ; j < c2 ; j++)  
        {  
            cout<<resultant[i][j]<<" ";  
        }  
        cout<<endl;  
    }  
}  

OUTPUT: 
Enter the dimensions of first matrix: 2 3
Enter the elements of second matrix:3 2
Enter the elements of first matrix:
1 2 3
1 2 3
Enter the elements of second matrix:
4 5
4 5
4 5
The Resultant Matrix is:
24 30
24 30

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