Given two arrays A and B, use the iteration method in Java (such as for loop, while loop, do-while loop) to add two arrays. For the summation of two matrices, the necessary condition is that the sizes of the two matrices must be the same, and the summation must perform a complete iteration on the two matrices.

Examples:

Input: 

 A[][] = {{1, 3}, 
                {2, 4}}
       B[][] = {{1, 1}, 
                {1, 1}}

Output:

{{2, 4}, 
         {3, 5}}

Input: 

A[][] = {{1, 2}, 
                {4, 8}}
       B[][] = {{2, 4}, 
                {6, 8}} 

Output:

{{3, 6}, 
         {10, 16}

Iterative Approach

• Take the two matrices to be added
• Create a new Matrix to store the sum of the two matrices
• Traverse each element of the two matrices and add them. Store this sum in the new matrix at the corresponding index.
• Print the final new matrix.

Below is the implementation of the above approach:

// Java Program to Add Two
// Matrix Using Iterative Approach
import java.io.*;
class Main {
	
	// Print matrix using iterative approach
	public static void printMatrix(int[][] a)
	{
		for (int i = 0; i < a.length; i++) {
			for (int j = 0; j < a[0].length; j++)
				System.out.print(a[i][j] + " ");
			System.out.println();
		}
	}
	// Sum of two matrices using Iterative approach
	public static void matrixAddition(int[][] a, int[][] b)
	{
		int[][] sum = new int[a.length][a[0].length];
		for (int i = 0; i < a.length; i++) {
			for (int j = 0; j < a[0].length; j++)
				sum[i][j] = a[i][j] + b[i][j];
		}
		
		// printing the matrix
		printMatrix(sum);
	}
	public static void main(String[] args)
	{
		int[][] firstMat = { { 1, 3 }, { 2, 4 } };
		int[][] secondMat = { { 1, 1 }, { 1, 1 } };
		System.out.println("The sum is ");

		// calling the function
		matrixAddition(firstMat, secondMat);
	}
}

Output

The sum is 
2 4 
3 5

Time Complexity: O(n*m), where N X M is the dimension of the matrix.

Space Complexity:- O(n*m)