Find a matrix whose nullspace is spanned by the vectors $(1,1,1)$ and $(2,1,0)$ I'm no expert at linear agebra, but I have a feeling I made a paper with an impossible question. The question, as stated in the title is:
$V$ is a vector space spanned by the vectors $\displaystyle\begin{pmatrix}1\\1\\1\end{pmatrix}$ and $\displaystyle\begin{pmatrix}2\\1\\0\end{pmatrix}$.
Find a matrix ${\bf B}$ that has $V$ as its null space.

I don't understand how a nullspace with at least 2 dimentions can have a vector without zero somewhere in it. Using what William said a matrix [-1 2 -1] nets a nullspace of 
[2,1,0];[-1,0,1] Which isn't V. or is it?
