Program for addition of two matrices

Given two N x M matrices. Find a N x M matrix as the sum of given matrices each value at the sum of values of corresponding elements of the given two matrices.

Approach: Below is the idea to solve the problem.

Iterate over every cell of matrix (i, j), add the corresponding values of the two matrices and store in a single matrix i.e. the resultant matrix.

Follow the below steps to Implement the idea:

Initialize a resultant matrix res[N][M].
Run a for loop for counter i as each row and in each iteration:
- Run a for loop for counter j as each column and in each iteration:
  - Add values of the two matrices for index i, j and store in res[i][j].
Return res.

Below is the Implementation of above approach.

C++

// C++ program for addition 
// of two matrices 
#include <bits/stdc++.h> 
using namespace std; 
#define N 4 
  
// This function adds A[][] and B[][], and stores 
// the result in C[][] 
void add(int A[][N], int B[][N], int C[][N]) 
{ 
    int i, j; 
    for (i = 0; i < N; i++) 
        for (j = 0; j < N; j++) 
            C[i][j] = A[i][j] + B[i][j]; 
} 
  
// Driver code 
int main() 
{ 
    int A[N][N] = { { 1, 1, 1, 1 }, 
                    { 2, 2, 2, 2 }, 
                    { 3, 3, 3, 3 }, 
                    { 4, 4, 4, 4 } }; 
  
    int B[N][N] = { { 1, 1, 1, 1 }, 
                    { 2, 2, 2, 2 }, 
                    { 3, 3, 3, 3 }, 
                    { 4, 4, 4, 4 } }; 
  
    int C[N][N]; // To store result 
    int i, j; 
  
    // Function Call 
    add(A, B, C); 
  
    cout << "Result matrix is " << endl; 
    for (i = 0; i < N; i++) { 
        for (j = 0; j < N; j++) 
            cout << C[i][j] << " "; 
        cout << endl; 
    } 
  
    return 0; 
} 
  
// This code is contributed by rathbhupendra

C

// C Program to add two matrix 
#include <stdio.h> 
#define N 4 
  
// This function adds A[][] and B[][], and stores 
// the result in C[][] 
void add(int A[][N], int B[][N], int C[][N]) 
{ 
    int i, j; 
    for (i = 0; i < N; i++) 
        for (j = 0; j < N; j++) 
            C[i][j] = A[i][j] + B[i][j]; 
} 
  
int main() 
{ 
    int A[N][N] = { { 1, 1, 1, 1 }, 
                    { 2, 2, 2, 2 }, 
                    { 3, 3, 3, 3 }, 
                    { 4, 4, 4, 4 } }; 
  
    int B[N][N] = { { 1, 1, 1, 1 }, 
                    { 2, 2, 2, 2 }, 
                    { 3, 3, 3, 3 }, 
                    { 4, 4, 4, 4 } }; 
  
    int C[N][N]; // To store result 
    int i, j; 
    add(A, B, C); 
  
    printf("Result matrix is \n"); 
    for (i = 0; i < N; i++) { 
        for (j = 0; j < N; j++) 
            printf("%d ", C[i][j]); 
        printf("\n"); 
    } 
  
    return 0; 
}

Java

// Java program for addition 
// of two matrices 
  
class GFG { 
    static final int N = 4; 
  
    // This function adds A[][] and B[][], and stores 
    // the result in C[][] 
    static void add(int A[][], int B[][], int C[][]) 
    { 
        int i, j; 
        for (i = 0; i < N; i++) 
            for (j = 0; j < N; j++) 
                C[i][j] = A[i][j] + B[i][j]; 
    } 
  
    // Driver code 
    public static void main(String[] args) 
    { 
        int A[][] = { { 1, 1, 1, 1 }, 
                      { 2, 2, 2, 2 }, 
                      { 3, 3, 3, 3 }, 
                      { 4, 4, 4, 4 } }; 
  
        int B[][] = { { 1, 1, 1, 1 }, 
                      { 2, 2, 2, 2 }, 
                      { 3, 3, 3, 3 }, 
                      { 4, 4, 4, 4 } }; 
  
        // To store result 
        int C[][] = new int[N][N]; 
        int i, j; 
        add(A, B, C); 
  
        System.out.print("Result matrix is \n"); 
        for (i = 0; i < N; i++) { 
            for (j = 0; j < N; j++) 
                System.out.print(C[i][j] + " "); 
            System.out.print("\n"); 
        } 
    } 
} 
  
// This code is contributed by Anant Agarwal.

Python3

# Python3 program for addition 
# of two matrices 
  
N = 4
  
# This function adds A[][] 
# and B[][], and stores 
# the result in C[][] 
  
  
def add(A, B, C): 
  
    for i in range(N): 
        for j in range(N): 
            C[i][j] = A[i][j] + B[i][j] 
  
  
# driver code 
A = [[1, 1, 1, 1], 
     [2, 2, 2, 2], 
     [3, 3, 3, 3], 
     [4, 4, 4, 4]] 
  
B = [[1, 1, 1, 1], 
     [2, 2, 2, 2], 
     [3, 3, 3, 3], 
     [4, 4, 4, 4]] 
  
C = A[:][:]  # To store result 
  
add(A, B, C) 
  
print("Result matrix is") 
for i in range(N): 
    for j in range(N): 
        print(C[i][j], " ", end='') 
    print() 
  
# This code is contributed 
# by Anant Agarwal. 

C#

// C# program for addition 
// of two matrices 
using System; 
  
class GFG { 
    static int N = 4; 
  
    // This function adds A[][] and B[][], and stores 
    // the result in C[][] 
    static void add(int[, ] A, int[, ] B, int[, ] C) 
    { 
        int i, j; 
        for (i = 0; i < N; i++) 
            for (j = 0; j < N; j++) 
                C[i, j] = A[i, j] + B[i, j]; 
    } 
  
    // Driver code 
    public static void Main() 
    { 
        int[, ] A = { { 1, 1, 1, 1 }, 
                      { 2, 2, 2, 2 }, 
                      { 3, 3, 3, 3 }, 
                      { 4, 4, 4, 4 } }; 
  
        int[, ] B = { { 1, 1, 1, 1 }, 
                      { 2, 2, 2, 2 }, 
                      { 3, 3, 3, 3 }, 
                      { 4, 4, 4, 4 } }; 
  
        // To store result 
        int[, ] C = new int[N, N]; 
        int i, j; 
        add(A, B, C); 
  
        Console.WriteLine("Result matrix is "); 
        for (i = 0; i < N; i++) { 
            for (j = 0; j < N; j++) 
                Console.Write(C[i, j] + " "); 
            Console.WriteLine(); 
        } 
    } 
} 
  
// This code is contributed by vt_m.

PHP

<?php 
// This function adds A[][] and  
// B[][], and stores the result in C[][] 
function add(&$A, &$B, &$C) 
{ 
    $N = 4; 
    for ($i = 0; $i < $N; $i++) 
        for ($j = 0; $j < $N; $j++) 
            $C[$i][$j] = $A[$i][$j] +  
                         $B[$i][$j]; 
} 
  
// Driver code 
$A = array(array(1, 1, 1, 1), 
           array(2, 2, 2, 2), 
           array(3, 3, 3, 3), 
           array(4, 4, 4, 4)); 
  
$B = array(array(1, 1, 1, 1), 
           array(2, 2, 2, 2), 
           array(3, 3, 3, 3), 
           array(4, 4, 4, 4)); 
  
$N = 4; 
add($A, $B, $C); 
  
echo "Result matrix is \n"; 
for ($i = 0; $i < $N; $i++) 
{ 
    for ($j = 0; $j < $N; $j++) 
    { 
        echo $C[$i][$j]; 
        echo " "; 
    } 
    echo "\n" ; 
} 
  
// This code is contributed  
// by Shivi_Aggarwal 
?>

Javascript

<script> 
  
// Javascript program for addition  
// of two matrices 
  
let N = 4;  
  
// This function adds A[][] and B[][], and stores  
// the result in C[][]  
function add(A, B, C)  
{  
    let i, j;  
    for (i = 0; i < N; i++)  
        for (j = 0; j < N; j++)  
            C[i][j] = A[i][j] + B[i][j];  
}  
  
// Driver code 
    let A = [ [1, 1, 1, 1],  
                    [2, 2, 2, 2],  
                    [3, 3, 3, 3],  
                    [4, 4, 4, 4]];  
  
    let B = [ [1, 1, 1, 1],  
                    [2, 2, 2, 2],  
                    [3, 3, 3, 3],  
                    [4, 4, 4, 4]];  
  
    // To store result 
    let C = new Array(N); 
    for (let k = 0; k < N; k++) 
        C[k] = new Array(N); 
          
    let i, j;  
    add(A, B, C);  
  
    document.write("Result matrix is <br>");  
    for (i = 0; i < N; i++)  
    {  
        for (j = 0; j < N; j++)  
            document.write(C[i][j] + " ");  
        document.write("<br>"); 
    }  
  
</script>

Output

Result matrix is 
2 2 2 2 
4 4 4 4 
6 6 6 6 
8 8 8 8

Time complexity: O(n²).
Auxiliary space: O(n²). since n² extra space has been taken for storing results

The program can be extended for rectangular matrices. The following post can be useful for extending this program.

How to pass a 2D array as a parameter in C?

C++

C

Java

Python3

C#

PHP

Javascript

Contact Us