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WAP to add two matrix

C++ Code Example — Array Programs

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WAP to add two matrix

Objective

Write a C++ program to add two 2D Matrices.

Algorithm / Approach

  1. Declare three 3x3 matrices: m1, m2, and m3.
  2. Use nested loops (rows i, columns j) to read data into m1 and m2.
  3. Use nested loops to add the matrices mathematically: m3[i][j] = m1[i][j] + m2[i][j].
  4. Print the resulting m3 matrix.
main.cpp 
#include<iostream>
using namespace std;
int main() {
 int m1[3][3],m2[3][3],m3[3][3];
 cout<<"Enter Elements of Mat1: \n";
 for(int i = 0; i< 3; i++) {
  for(int j = 0; j< 3; j++) {
   cin>>m1[i][j];
  }
 }
 cout<<"Enter Elements of Mat2: \n";
 for(int i = 0; i< 3; i++) {
  for(int j = 0; j< 3; j++) {
   cin>>m2[i][j];
  }
 }
 cout<<"Sum of the matrix: \n";
 for(int i = 0; i< 3; i++) {
  for(int j = 0; j< 3; j++) {
   m3[i][j] = m1[i][j]+m2[i][j];
   cout<< m3[i][j]<<"  ";
  }
  cout<< endl;
 }
 return 0;
}

Expected Output

Enter Elements of Mat1:
1 2 3
2 3 4
6 8 2
Enter Elements of Mat2:
3 4 2
1 2 1
3 1 2
Sum of the matrix:
4 6 5
3 5 5
9 9 4

Explanation of the Program

  • A 2D array (matrix) is essentially an array of arrays. The first index represents the row, and the second represents the column.
  • Matrix addition is straightforward: you simply add the elements that share the exact same coordinates (e.g., Row 0 Col 0 of M1 + Row 0 Col 0 of M2).

Complexity

Time Complexity O(r * c) - Where r is rows and c is columns.
Space Complexity O(r * c) - For storing the 3 matrices.
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