Let W be the set of all (X1, X2, X3, X4, X5) in R5 which satisfy

2X1-X2+4/3X3-X4=0

X1+2/3X3-X5=0

9X1-3X2+6X3-3X4-3X5=0

Find a finite set of vectors which spans W

Does this mean I have to find the vectors such that

c1V1+c2V2+c3V3+c4V4+c5V5=(X1, X2, X3, X4, X5) for some uknown V? And if so, what's the best way to go about it, by row-reducing the matrix above?

Thanks.