Q:

Java Program to determine whether a given matrix is an identity matrix

belongs to collection: Java Matrix Programs

robaa
Save to bookmark
|
2022-11-12
|
  206 
0

In this program, we need to check whether the given matrix is an identity matrix.

Identity Matrix

A matrix is said to be an identity matrix if it is a square matrix in which elements of principle diagonal are ones, and the rest of the elements are zeroes.

Algorithm

  • STEP 1: START
  • STEP 2: DEFINE rows, cols
  • STEP 3: SET flag =true
  • STEP 4: INITIALIZE matrix a[][] ={{1,0,0},{0,1,0}, {0,0,1}}
  • STEP 5: rows = a.length
  • STEP 6: cols = a[0].length
  • STEP 7: if(rows!=cols)
                then
              PRINT "Matrix should be a square matrix"
             else
           go to step 8
  • STEP 8: REPEAT STEP 9 to STEP 11 UNTIL i<rows
                //for(i=0; i<rows; i++)
  • STEP 9: REPEAT STEP 10 to STEP 11 UNTIL j<cols
                //for(j=0; j<cols; j++)
  • STEP 10: if(i==j && a[i][j]== 1) then
                SET flag =false
                break
  • STEP 11: if( i!=j && a[i][j]!=0)
                SET flag = false
                break
  • STEP 12: if(flag)
                then PRINT ("Given matrix is an identity matrix")
                else
                PRINT ("Given matrix is not an identity matrix")
  • STEP 13: END
Java programming, examples, Java programming examples,
login and add your own answer to this question

All Answers

robaa
2022-11-12
need an explanation for this answer? contact us directly to get an explanation for this answer

Program:

public class IdentityMatrix     
{    
    public static void main(String[] args) {    
        int rows, cols;    
        boolean flag = true;    
            
        //Initialize matrix a    
        int a[][] = {       
                        {1, 0, 0},    
                        {0, 1, 0},    
                        {0, 0, 1}    
                    };    
            
        //Calculates the number of rows and columns present in the given matrix    
    
          rows = a.length;    
        cols = a[0].length;    
            
        //Checks whether given matrix is a square matrix or not    
        if(rows != cols){    
            System.out.println("Matrix should be a square matrix");    
        }    
        else {    
            //Checks if diagonal elements are equal to 1 and rest of elements are 0    
            for(int i = 0; i < rows; i++){    
                for(int j = 0; j < cols; j++){    
                  if(i == j && a[i][j] != 1){    
                      flag = false;    
                      break;    
                  }    
                  if(i != j && a[i][j] != 0){    
                      flag = false;    
                      break;    
                  }    
                }    
            }    
                
            if(flag)    
                System.out.println("Given matrix is an identity matrix");    
            else    
                System.out.println("Given matrix is not an identity matrix");    
        }    
    }    
}

  

Output:

Given matrix is an identity matrix

need an explanation for this answer? contact us directly to get an explanation for this answer

total answers (1)

Java Matrix Programs
This question belongs to these collections

Similar questions

need a help?

find thousands of online teachers now
Java Program to add two matrices... >>
<< Java Program to subtract the two matrices...