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
wherei=0
andj=0
,A01=aij
wherei=0
andj=1
and like this. - Here we have started
row
value from 0 andcolumn
value from 0.
Let’s see different ways to find sum of matrix 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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