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

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

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

Identity Matrix

Java Program to determine whether a given matrix is an 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

Program:

Output:

Given matrix is an identity matrix  
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