Spanning vector spaces

1. Nov 8, 2005

tandoorichicken

Is it possible for a nullspace to be spanned by only one vector? Does a statement like Nul A = Span{$\vec{v}_1$} even have any meaning?

2. Nov 8, 2005

Galileo

Why not?...
For example, what is the nullspace of:
$$\left(\begin{array}{ccc} 1 & 0 & 0\\ 0 & 1 & 0\\ 0 & 0 & 0\end{array}\right)$$