Java Program to Print Matrix in Z form

Java Program to Print Matrix in Z form

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In the previous article, we have seen Java Program to Decrement the Matrix Elements by a Specified Number

In this article we are going to see how we can print matrix in Z form in JAVA language.

Java Program to Print Matrix in Z form

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 print Matrix in Z form.

Method-1: Java Program to Print Matrix in Z form By Static Initialization of Array Elements

Approach:

  • Initialize an array of size 3×3 with values.
  • Show the array to the user.
  • Print the first row
  • Print the second diagonal excluding the first and last row.
  • Print the last row

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[][] = {{1,0,0},{0,0,0},{1,1,1}};
        int row, col ;

        System.out.print("The matrix elements are:");
        printMatrix(arr);
        System.out.println("\nThe z-form :");
        printZMatrix(arr);
    }

    // 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]+" ");
            }
        }
    }

    // Looks for the highet occurence of 1
    static void printZMatrix(int arr[][])
    {
        int row, col;
        // Print the first row
        for(col=0;col<3;col++)
            System.out.print(arr[0][col]+" ");
        // Used for formatting
            System.out.print("\n");
        
        // Print the second diagonal(Here Mid element of 2nd row)
        for(row=1;row<2;row++)
            for(col=0;col<3;col++)
                if(row+col==2)
                    System.out.print("  "+arr[row][col]);
        // Used for formatting
            System.out.print("\n");

        // Print the last row
        for(col=0;col<3;col++)
            System.out.print(arr[2][col]+" ");
        
    }

}



Output:

The matrix elements are:
1 0 0 
0 0 0 
1 1 1 
The z-form :
1 0 0 
   0
1 1 1

Method-2: Java Program to Print Matrix in Z form By Dynamic Initialization of Array Elements

Approach:

  • Declare an array of size 3×3.
  • Ask the user for input of array elements.
  • Use two for loops to iterate the rows and columns to input the array elements.
  • Print the first row.
  • Print the second diagonal excluding the first and last row.
  • Print the last row.

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];

        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:");
        printMatrix(arr);
        System.out.println("\nThe z-form :");
        printZMatrix(arr);
    }

    // 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]+" ");
            }
        }
    }

    // Looks for the highet occurence of 1
    static void printZMatrix(int arr[][])
    {
        int row, col;
        // Print the first row
        for(col=0;col<3;col++)
            System.out.print(arr[0][col]+" ");
        // Used for formatting
            System.out.print("\n");
        
        // Print the second diagonal
        for(row=1;row<2;row++)
            for(col=0;col<3;col++)
                if(row+col==2)
                    System.out.print("  "+arr[row][col]);
        // Used for formatting
            System.out.print("\n");

        // Print the last row
        for(col=0;col<3;col++)
            System.out.print(arr[2][col]+" ");
        
    }

}



Output:

Enter the 3x3 matrix elements : 1 1 1 1 1 1 1 1 1 1 
The matrix elements are:
1 1 1 
1 1 1 
1 1 1 
The z-form :
1 1 1 
   1
1 1 1

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