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 Arepresents 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=Aijwherei=0andj=0,A01=aijwherei=0andj=1and like this. - Here we have started
rowvalue from 0 andcolumnvalue 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.
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