Java Program to Find Sum of Matrix Elements

In the previous article, we have discussed Java Program to Print 3*3 Matrix

In this article we are going to see how we can write a program to calculate the sum of matrix elements in JAVA language.

Java Program to Find Sum of Matrix Elements

A 3*3 Matrix is having 3 rows and 3 columns where this 3*3 represents the dimension of the matrix. Means there are 3*3 i.e. total 9 elements in a 3*3 Matrix.

Let’s understand it in more simpler way.

                   | A00   A01   A02 |
Matrix A =  | A10   A11   A12 |
                   | A20   A21   A22 | 3*3

Matrix A represents a 3*3 matrix.
‘A‘ represents the matrix element
‘Aij‘ represents the matrix element at it’s matrix position/index.
‘i‘ represents the row index
‘j‘ represents the column index
Means A00=Aij where i=0 and j=0, A01=aij where i=0 and j=1 and like this.
Here we have started row value from 0 and column value from 0.

Let’s see different ways to find sum of matrix elements.

By Static Initialization of Array Elements
By Dynamic Initialization of Array Elements

Method-1: Java Program to Find Sum of Matrix Elements By Static Initialization of Array Elements

Approach:

Initialize and declare an array of size 3×3 with elements.
Use two for loops to iterate the rows and columns and then add each element to the sum variable.
Print the sum.

Program:

import java.util.Scanner;

public class Matrix
{
    public static void main(String args[])
    {
        //Scanner class to take input
        Scanner scan = new Scanner(System.in);

        // Initializing the 3X3 matrix i.e. 2D array
        int arr[][] = {{10,20,30},{40,50,60},{70,80,90}};
        int row, col, sum = 0;
        
        System.out.print("The matrix elements are : ");
        // Loop to print the elements
        for(row=0;row<3;row++)
        {
            // Used for formatting
            System.out.print("\n");
            for(col=0;col<3;col++)
            {
                System.out.print(arr[row][col]+" ");
            }
        }

        // Loop to take the sum of elements
        for(row=0;row<3;row++)
            for(col=0;col<3;col++)
                sum+=arr[row][col];

        System.out.print("\nThe sum of all the matrix elements is : "+sum);
    }
}

Output:

The matrix elements are : 
10 20 30 
40 50 60 
70 80 90 
The sum of all the matrix elements is : 450

Method-2: Java Program to Find Sum of Matrix Elements By Dynamic Initialization of Array Elements

Approach:

Initialize an array of size 3×3.
Ask the user for input.
Use two for loops to iterate the rows and columns and input the array elements.
Similarly use two for loops to add each element and store in sum variable.
Print the sum.

Program:

import java.util.Scanner;
public class matrix{
    public static void main(String args[])
    {
        //Scanner class to take input
        Scanner scan = new Scanner(System.in);

        // Initializing the 3X3 matrix i.e. 2D array
        int arr[][] = new int[3][3], sum = 0;

        System.out.println("Enter the 3x3 matrix elements : ");
        int row, col;
        // Loop to take user input
        for(row=0;row<3;row++)
            for(col=0;col<3;col++)
                arr[row][col] = scan.nextInt();
                
       System.out.print("The matrix elements are : "); 
       // Loop to print the elements 
       for(row=0;row<3;row++) 
       { 
           // Used for formatting 
           System.out.print("\n"); 
           for(col=0;col<3;col++) 
           { 
               System.out.print(arr[row][col]+" "); 
           } 
       }
       
       System.out.print("\n"); 
        
        // Loop to take the sum of elements
        for(row=0;row<3;row++)
            for(col=0;col<3;col++)
                sum+=arr[row][col];

        System.out.println("The sum of all the matrix elements is : "+sum);
    }
}

Output:

Enter the 3x3 matrix elements : 1 2 3 4 5 6 7 8 9
The matrix elements are : 
1 2 3 
4 5 6 
7 8 9 
The sum of all the matrix elements is : 45

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