Originally Posted by

**chocaholic** This is a two part question:

a) Let S= (**v**1,**v**2,**v**3) , where:

**v**1 = (1,2,3) **v**2 = (2,1,4) **v**3 = (1,1,2)

Find a basis for the subspace V= span S of R^3.

I thought I understood how to do this but now I think I'm weong because the second part doesn't apply to my answer. I expressed the vectors as the columns of a matrix and found the basis of the column space to be all 3 vectors which are then the basis for span S. But the second part states:

b) Express each vector not in the basis as a linear combination of the found basis vector.

With my answer all 3 vectors are in the basis so where did I go wrong?

Any help would be appreciated.

Thanks in advance.