# Java Program to Find the Product of Middle Row and Middle Column of a Matrix

In the previous article, we have seen Java Program to Find the Sum of Middle Row and Middle Column of a Matrix

In this article we are going to see how we can write a program how to calculate product of Middle row and column.

## Java Program to Find the Product 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  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 calculate Product of Middle row and Column.

### Method-1: Java Program to Find the Product of Middle Row and Middle Column of a Matrix

Approach:

• Initialize and declare a matrix.
• Take a for loop to calculate product of middle row value . for each iteration calculate Pro_row += mat[3 / 2][i]
• Take a for loop to calculate product of middle column value . for each iteration calculate Pro_col += mat[i][3 / 2]
• Print the  results .

Program:

import java.util.*;
public class Main
{
public static void main(String args[])
{
// Initializing the 3X3 matrix i.e. 2D array
int mat[][]={{1,2,3},{4,5,6},{7,8,9}};
int row, col, Pro_row=1,Pro_col=1 ;

for (int i = 0; i < 3; i++)
Pro_row *= mat[3 / 2][i];
for (int i = 0; i < 3; i++)
Pro_col *= mat[i][3 / 2];
int res= Pro_row*Pro_col;
System.out.println("Product of middle row is : " + Pro_row);
System.out.println("Product of middle Column is : " + Pro_col);
System.out.println("Product of middle Row and Column is : " + res);
}
}


Output:

Product of middle row is : 120
Product of middle Column is : 80
Product of middle Row and Column is : 9600

### Method-2:Java Program to Find the Product of Middle Row and Middle Column of a Matrix

Approach :

• Take input of a matrix.
• Take a for loop to calculate product of middle row value . for each iteration calculate Pro_row += mat[3 / 2][i]
• Take a for loop to calculate product of middle column value . for each iteration calculate Pro_col += mat[i][3 / 2]
• Print the 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, Pro_row=1,Pro_col=1 ;
// Taking matrix input
System.out.println("Enter 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++)
Pro_row *= mat[3 / 2][i];
for (int i = 0; i < 3; i++)
Pro_col *= mat[i][3 / 2];
int res= Pro_row*Pro_col;
System.out.println("Product of middle row is : " + Pro_row);
System.out.println("Product of middle Column is : " + Pro_col);
System.out.println("Product 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 : 120
Sum of middle Column is : 80
Sum of middle Row and Column is : 9600

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: