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

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

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