The vector space span of two vectors 
and 
in a real vector space 
is the subspace
![Span(v_1,v_2)=[{rv_1+sv_2:r,s in R]}.](/images/equations/VectorSpaceSpan/NumberedEquation1.svg) |
A set of vectors ![m=[{v_1,...,v_n]}](/images/equations/VectorSpaceSpan/Inline4.svg)
can be tested to see if they form a spanning
set of 
-dimensional
space using the following Wolfram Language
function:
SpanningVectorsQ[m_List?MatrixQ] :=
(NullSpace[m] == {})
