Find subset of vectors which form basis

Question

Let W be the subspace of $R^5$ spanned by
$ u_1= (1, 2, –1, 3, 4)\\u_2 = (2, 4, –2, 6, 8) \\u_3 = (1, 3, 2, 2, 6)\\ u_4 = (1, 4, 5, 1, 8)\\u_5 = (2, 7, 3, 3, 9)$

Find a subset of the vectors which forma basis of W.

Doubt

Now. I understand that, I need to make a matrix and by doing row operations have to convert it to reduced echelon form, and the zero rows suggest the Linearly dependent(LD) vectors, but I don't think this is a correct method because, after few operations, when I see 2 rows of matrix which looks scalar multiple of each other, it's onto me that which row I want to make zero(true, isn't it ?),so it will change the answer