# Java Program to Find Average of sum of n-th row and n-th column

In the previous article, we have seen Java Program to Find Difference between the Sum of n-th row and n-th column

In this article we are going to see how we can write a program to Find Average of Sum of n-th row and n-th column.

## Java Program to Find Average of Sum of n-th row and n-th column

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 Average of Sum of n-th row and n-th column.

### Method-1: Java Program to Find Average of Sum of n-th row and n-th column By Static Initialization of Array Elements

Approach:

• Initialize and declare two arrays one of size 3×3 with elements and another 1D array of size 3.
• Ask the user to enter an index.
• Take for loops to iterate the row and column index.
• Find the sum of row elements and column elements of the entered index.
• Then find the average between sum of n-th row and n-th column.
• Print the result.

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},{30,60,90}};
int row, col ;

System.out.print("The matrix elements are:");
printMatrix(arr);
System.out.println("\nEnter nth row-column index to check : ");
int n = scan.nextInt();

//User defined method called
//findAverage() method
findAverage(arr,n);

}

// Function to print the matrix
static void printMatrix(int arr[][])
{
int row, col;
// 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]+" ");
}
}
}

// finding the average between n-th row sum and n-th column sum
static void  findAverage(int arr[][], int n)
{
int rowSum=0, colSum=0, row, col;

//calculates rowSum
for(col=0;col<3;col++)
rowSum+=arr[n][col];
System.out.println("Row "+n+" sum:"+rowSum);

//calculates colSum
for(row=0;row<3;row++)
colSum+=arr[row][n];
System.out.println("Column "+n+" sum:"+colSum);

//Calculating the average between rowSum and colSum of n-th index
//As 1 row and 1column so 6 elements
int average=(rowSum+colSum)/6;
System.out.println("Average between row sum and column sum : "+average);
}
}
Output:

The matrix elements are:
10 20 30
40 50 60
30 60 90
Enter nth row-column index to check :
Row 2 sum:180
Column 2 sum:180
Average between row sum and column sum : 60

### Method-2: Java Program to Find Average of Sum of n-th row and n-th column By Dynamic Initialization of Array Elements

Approach:

• Declare two arrays one of size 3×3 and another 1D array of size 3.
• Ask the user for input of array elements and store them in the one array using two for loops.
• Ask the user to enter an index.
• Take for loops to iterate the row and column index.
• Find the sum of row elements and column elements of the entered index.
• Then find the average between sum of n-th row and n-th column.
• Print the result.

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];
int row, col ;

// Taking matrix input
System.out.println("Enter matrix elements : ");
for(row=0;row<3;row++)
for(col=0;col<3;col++)
arr[row][col] = scan.nextInt();

System.out.print("The matrix elements are:");
printMatrix(arr);
System.out.println("\nEnter nth row-column index to check : ");
int n = scan.nextInt();

//User defined method called
//findAverage() method
findAverage(arr,n);

}

// Function to print the matrix
static void printMatrix(int arr[][])
{
int row, col;
// 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]+" ");
}
}
}

// finding the average between n-th row sum and n-th column sum
static void  findAverage(int arr[][], int n)
{
int rowSum=0, colSum=0, row, col;

//calculates rowSum
for(col=0;col<3;col++)
rowSum+=arr[n][col];
System.out.println("Row "+n+" sum:"+rowSum);

//calculates colSum
for(row=0;row<3;row++)
colSum+=arr[row][n];
System.out.println("Column "+n+" sum:"+colSum);

//Calculating the average between rowSum and colSum of n-th index
//As 1 row and 1column so 6 elements
int average=(rowSum+colSum)/6;
System.out.println("Average between row sum and column sum : "+average);
}
}
Output:

Enter matrix elements : 10 20 30 40 50 60 70 80 90
The matrix elements are: 2
10 20 30
40 50 60
70 80 90
Enter nth row-column index to check :
Row 2 sum:240
Column 2 sum:180
Average between row sum and column sum : 70

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