You can
put this solution on YOUR website! This was done without rechecking:
2 1 -1 -1
3 -3 -1 5
1 -2 3 6
0 5 -8 -13
0 3 -10 -13
1 -2 3 6
then switch rows
1 -2 3 6
0 5 -8 -13
0 3 -10 -13
1 -2 3 6
0 15 -24 -29
0 15 -50 -65
E3-E3-E2;
E2+8E3 and E1-3E3
1 -2 0 3
0 5 0 -5
0 0 1 1
1 -2 0 3
0 1 0 -1
0 0 1 1
then E1=E1+2E2
1 0 0 1
0 1 0 -1
0 0 1 1