linear combinationLinearCombination2001-11-13 18:10:392004-04-05 05:44:02Definitionlinear combinationspan\usepackage{amssymb}
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\newcommand{\R}{\mathbb{R}}A \emph{linear combination} of vectors $\vec{v}_1,\dots,\vec{v}_n$
of a vector space $V$ over a field $F$ is a vector of the form
$$\sum_{i=1}^n a_i\vec{v}_i,$$
where the $a_i$ are elements of $F$.