View source for Affine hull

{{TEX|done}}{{MSC|14R}}

''of a [[set]] $M$ in a [[vector space]] $V$''

The intersection of all flats (translates of subspaces) of $V$ containing $M$.  

====Comment====
It is equal to the set of all finite linear combinations of elements $\{m_i : i=1,\ldots,n \}$ of $M$,
$$
\sum_{i=1}^n c_i m_i
$$
where the coefficients $c_i$ satisfy
$$
\sum_{i=1}^n c_i = 1 \ .
$$

====References====
* Grünbaum, Branko, ''Convex polytopes''.  Graduate Texts in Mathematics '''221'''.  Springer (2003) ISBN 0-387-40409-0 {{ZBL| 1033.52001}}