Java Program to Display Upper Triangular Matrix

In the previous article, we have discussed Java Program to Display Lower Triangular Matrix

In this article we are going to see how we can write a program to display the upper triangular matrix in JAVA language.

Java Program to Display Upper Triangular 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.

Upper triangular matrix is a square matrix in which Aij elements are 0 i.e Aij=0 for i>j means all elements below the main diagonal are zero.

                                           1  4  6
Lower Triangular Matrix=   0  4  8
                                           0  0  3

Let’s see different ways to Display Upper Triangular Matrix.

By Static Initialization of Array Elements
By Dynamic Initialization of Array Elements

Method-1: Java Program to Display Upper Triangular Matrix By Static Initialization of Array Elements

Approach:

Initialize and declare two arrays of size 3×3, one with elements.
Use two for loops to iterate the rows and columns .
Inside the for loops for all col<row locations store a zero, else copy the elements from the main array to the resultant array.
Print the resultant array.

Program:

public class matrix{
    public static void main(String args[])
    {

        // Initializing the 3X3 matrix i.e. 2D array
        int arr[][] = {{9,5,2},{4,5,6},{7,2,6}}, res[][] = new int[3][3];
        int row, col ;
        
        System.out.print("The matrix elements are:");
        printMatrix(arr);

        // Loops to store the upper triangular matrix
        for(row=0;row<3;row++)
            for(col=0;col<3;col++)
            {   
                if(row>col)
                    res[row][col]=0;
                else
                    res[row][col]= arr[row][col];
            }   
        System.out.print("\n\nThe upper triangular matrix:");
        printMatrix(res);
    }

    // Method 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]+" ");
            }
        }
    }
}

Output:

The matrix elements are:
9 5 2 
4 5 6 
7 2 6

The upper triangular matrix:
9 5 2 
0 5 6 
0 0 6

Method-2: Java Program to Display Upper Triangular Matrix By Dynamic Initialization of Array Elements

Approach:

Initialize two arrays of size 3×3.
Ask the user for array elements input and store them in the one array using two for loops.
Use two for loops to iterate the rows and columns .
Inside the for loops for all col<row locations store a zero, else copy the elements from the main array to the resultant array.
Print the resultant array.

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], res[][] = new int[3][3];
        int row, col ;
        
        // Taking matrix1 input
        System.out.println("\nEnter 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);

        // Loops to store the upper triangular matrix 
       for(row=0;row<3;row++)
            for(col=0;col<3;col++)
            {   
                if(row<col)
                    res[row][col]=0;
                else
                    res[row][col]= arr[row][col];
            }   
        System.out.print("\n\nThe upper triangular matrix : ");
        printMatrix(res);
    }

    // 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]+" ");
            }
        }
    }
}

Output:

Enter matrix elements
The matrix elements are : 
1 2 3 
1 2 1 
3 4 5

The upper triangular matrix : 
1 0 0 
1 2 0 
3 4 5

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