Trace what is happening to the rows...
After the first step, rows 1,3,4,5 remain unchanged. Row 2 now is \(\displaystyle v_2+3v_1\).
After the second step, rows 1,3,5 remain unchanged. Row 4 now is \(\displaystyle -2v_4\).
Keep going. Note \(\displaystyle v_1\) will not show up in your answer, as no row operations are done with it.