Question

Help!
Find a subset of vectors V1=(1,-2,0,3), V2=( 2,-5,-3,6), V3=(-1,4,6,-3), V4=(2,-1,4,-7) and V5=(2,-8,-7,19) that forms a basis for the space spanned by these vectors.

Answer 1

put them in a matrix and row-reduce
each row after elimination is a basis vector

Answer 2

at least one row should eliminate completely to the zero vector

Answer 3

i got one row that is completely eliminated to the zero vector

Answer 4

now what do i do?

Answer 5

what about the other remaining vectors?
what do you get when they are completely reduced?

Answer 6

1 0 -6 3
0 1 3 0
0 0 5 -13
0 0 0 0

Answer 7

i don' know if this is right.
i'm confused at the moment.