` the output of this amazing algo
enter the values :
2
enter the values :
4
enter the values :
5
enter the values :
3
enter the values :
5
enter the values :
7
enter the values :
3
enter the values :
1
enter the values :
6
enter the values :
8
enter the values :
5
enter the values :
3
2.0 4.0 5.0 3.0
5.0 7.0 3.0 1.0
6.0 8.0 5.0 3.0
***********************************************************
piviting row 0by multiplying 1.0/2.0
1.0 2.0 5.0/2.0 3.0/2.0
5.0 7.0 3.0 1.0
6.0 8.0 5.0 3.0
***********************************************************
multiplying row 0by 5.0
5.0 10.0 25.0/2.0 15.0/2.0
5.0 7.0 3.0 1.0
6.0 8.0 5.0 3.0
***********************************************************
substracting row 1from row 0
5.0 10.0 25.0/2.0 15.0/2.0
0.0 -3.0 -19.0/2.0 -13.0/2.0
6.0 8.0 5.0 3.0
***********************************************************
restoring pivit row 0by dividing 5.0
1.0 2.0 5.0/2.0 3.0/2.0
0.0 -3.0 -19.0/2.0 -13.0/2.0
6.0 8.0 5.0 3.0
***********************************************************
multiplying row 0by 6.0
6.0 12.0 15.0 9.0
0.0 -3.0 -19.0/2.0 -13.0/2.0
6.0 8.0 5.0 3.0
***********************************************************
substracting row 2from row 0
6.0 12.0 15.0 9.0
0.0 -3.0 -19.0/2.0 -13.0/2.0
0.0 -4.0 -10.0 -6.0
***********************************************************
restoring pivit row 0by dividing 6.0
1.0 2.0 5.0/2.0 3.0/2.0
0.0 -3.0 -19.0/2.0 -13.0/2.0
0.0 -4.0 -10.0 -6.0
***********************************************************
piviting row 1by multiplying -1.0/3.0
1.0 2.0 5.0/2.0 3.0/2.0
0.0 1.0 19.0/6.0 13.0/6.0
0.0 -4.0 -10.0 -6.0
***********************************************************
multiplying row 1by 2.0
1.0 2.0 5.0/2.0 3.0/2.0
0.0 2.0 19.0/3.0 13.0/3.0
0.0 -4.0 -10.0 -6.0
***********************************************************
substracting row 0from row 1
1.0 0.0 -23.0/6.0 -17.0/6.0
0.0 2.0 19.0/3.0 13.0/3.0
0.0 -4.0 -10.0 -6.0
***********************************************************
restoring pivit row 1by dividing 2.0
1.0 0.0 -23.0/6.0 -17.0/6.0
0.0 1.0 19.0/6.0 13.0/6.0
0.0 -4.0 -10.0 -6.0
***********************************************************
multiplying row 1by -4.0
1.0 0.0 -23.0/6.0 -17.0/6.0
0.0 -4.0 -38.0/3.0 -26.0/3.0
0.0 -4.0 -10.0 -6.0
***********************************************************
substracting row 2from row 1
1.0 0.0 -23.0/6.0 -17.0/6.0
0.0 -4.0 -38.0/3.0 -26.0/3.0
0.0 0.0 8.0/3.0 8.0/3.0
***********************************************************
restoring pivit row 1by dividing -4.0
1.0 0.0 -23.0/6.0 -17.0/6.0
0.0 1.0 19.0/6.0 13.0/6.0
0.0 0.0 8.0/3.0 8.0/3.0
***********************************************************
piviting row 2by multiplying 3.0/8.0
1.0 0.0 -23.0/6.0 -17.0/6.0
0.0 1.0 19.0/6.0 13.0/6.0
0.0 0.0 1.0 1.0
***********************************************************
multiplying row 2by -23.0/6.0
1.0 0.0 -23.0/6.0 -17.0/6.0
0.0 1.0 19.0/6.0 13.0/6.0
0.0 0.0 -23.0/6.0 -23.0/6.0
***********************************************************
substracting row 0from row 2
1.0 0.0 0.0 1.0
0.0 1.0 19.0/6.0 13.0/6.0
0.0 0.0 -23.0/6.0 -23.0/6.0
***********************************************************
restoring pivit row 2by dividing -23.0/6.0
1.0 0.0 0.0 1.0
0.0 1.0 19.0/6.0 13.0/6.0
0.0 0.0 1.0 1.0
***********************************************************
multiplying row 2by 19.0/6.0
1.0 0.0 0.0 1.0
0.0 1.0 19.0/6.0 13.0/6.0
0.0 0.0 19.0/6.0 19.0/6.0
***********************************************************
substracting row 1from row 2
1.0 0.0 0.0 1.0
0.0 1.0 0.0 -1.0
0.0 0.0 19.0/6.0 19.0/6.0
***********************************************************
restoring pivit row 2by dividing 19.0/6.0
1.0 0.0 0.0 1.0
0.0 1.0 0.0 -1.0
0.0 0.0 1.0 1.0
***********************************************************
value of x is 1.0
value of y is -1.0
value of z is 1.0
`