In the previous article, we have seen Java Program to Print the elements of the Matrix in Spiral Form
In this article we are going to see how we can write a program how to calculate Sum of Middle row and column.
Java Program to Find the Sum of Middle Row and Middle Column of a Matrix
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 calculate Sum of Middle row and Column.
Method-1: Java Program to Find the Sum of Middle Row and Middle Column of a Matrix By Static Initialization of Array Elements
Approach:
- Initialize and declare a matrix.
- Take a for loop to calculate sum of middle row value . for each iteration calculate Sum_row += mat[3 / 2][i]
- Take a for loop to calculate sum of middle column value . for each iteration calculate Sum_col += mat[i][3 / 2]
- Print 2 results .
Program:
import java.util.*; public class Main { public static void main(String args[]) { Scanner s = new Scanner(System.in); // Initializing the 3X3 matrix i.e. 2D array int mat[][]={{10,20,30},{40,50,60},{70,80,90}}; int Sum_row=0,Sum_col=0 ; for (int i = 0; i < 3; i++) Sum_row += mat[3 / 2][i]; for (int i = 0; i < 3; i++) Sum_col += mat[i][3 / 2]; System.out.println("Sum of middle row is : " + Sum_row); System.out.println("Sum of middle Column is : " + Sum_col); int res = Sum_row+Sum_col; System.out.println("Sum of middle row and Column is : " + res); } }
Output: Sum of middle row is : 150 Sum of middle Column is : 150 Sum of middle row and Column is : 300
Method-2: Java Program to Find the Sum of Middle Row and Middle Column of a Matrix By Dynamic Initialization of Array Elements
Approach :
- Take input of a matrix.
- Take a for loop to calculate sum of middle row value . for each iteration calculate Sum_row += mat[3 / 2][i]
- Take a for loop to calculate sum of middle column value . for each iteration calculate Sum_col += mat[i][3 / 2]
- Print 2 results .
Program :
import java.util.*; public class Main { public static void main(String args[]) { Scanner s = new Scanner(System.in); // Initializing the 3X3 matrix i.e. 2D array int mat[][] = new int[3][3]; int row, col, Sum_row=0,Sum_col=0 ; // Taking matrix input System.out.println("\nEnter matrix elements"); for(row=0;row<3;row++) for(col=0;col<3;col++) mat[row][col] = s.nextInt(); for (int i = 0; i < 3; i++) Sum_row += mat[3 / 2][i]; for (int i = 0; i < 3; i++) Sum_col += mat[i][3 / 2]; int res= Sum_row+Sum_col; System.out.println("Sum of middle row is : " + Sum_row); System.out.println("Sum of middle Column is : " + Sum_col); System.out.println("Sum of middle Row and Column is : " + res); } }
Output: Enter matrix elements 1 2 3 4 5 6 7 8 9 Sum of middle row is : 15 Sum of middle Column is : 15 Sum of middle Row and Column is : 30
Interested in programming and want to excel in it by choosing the short ways. Then, practicing with the available Java Program list is mandatory.
Related Java Programs: