Write a method checks if a given matrix is a unit matrix. An N x N unit matrix is a matrix of N rows and N columns where all the diagonal elements are ‘1’s and all the remaining elements are ‘0’s. The method should take a 2D array of integers as argument and return a Boolean which is true/false depending on whether the matrix corresponding to the 2D array is a unit matrix or not. Test the method in the ‘main’ method.For problems asking for 'methods', you need to write the method, and the 'main' method which is used as a 'driver' to test the given method.

Answered: Write a method checks if a given matrix…

Database System Concepts

7th Edition

ISBN:9780078022159

Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Chapter1: Introduction

Section: Chapter Questions

Problem 1PE

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Write a method checks if a given matrix is a unit matrix. An N x N unit matrix is a matrix of N rows and N columns where all the diagonal elements are ‘1’s and all the remaining elements are ‘0’s. The method should take a 2D array of integers as argument and return a Boolean which is true/false depending on whether the matrix corresponding to the 2D array is a unit matrix or not. Test the method in the ‘main’ method.

For problems asking for 'methods', you need to write the method, and the 'main' method which is used as a 'driver' to test the given method.

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Answer

JAVA CODE:

public class Main {
    public static boolean checkUnitMatrix(int arr [][]){
        boolean flag = true;
        int rows, cols;
        rows = arr.length;  //finding the number of rows
        cols = arr[0].length;    //finding the number of columns
        for(int i = 0; i < rows; i++)
        {
            for(int j = 0; j < cols; j++)
            {
                    if(i == j && arr[i][j] != 1){   //checking diagonal elements
                        flag = false;
                        break;
                    }
                    if(i != j && arr[i][j] != 0){   //checking elements other than diagonal elements
                        flag = false;
                        break;
                    }
                }
            }
            return flag;    //returning the flag value
    }
    public static void main(String[] args) {    //main method
        int matrix1[][] = {{1, 0, 0},
                            {0, 1, 0},
                            {0, 0, 1}};
        int matrix2[][] = {{1, 0, 1},
                            {1, 0, 0},
                            {0, 1, 1}};
        //printing the result
        System.out.println("Matrix1 status for Unit Matrix is: " + checkUnitMatrix(matrix1));
        System.out.println("Matrix2 status for Unit Matrix is: " + checkUnitMatrix(matrix2));
    }
}

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