A Linear Combination of vectors is a… guess what? Any vector formed by a combination of vectors at arbitrary scales. constituents A list of vectors v_1, \dots,v_{m} Scalars a_1, \dots, v_{m} \in \mathbb{F} requirements A Linear Combination is defined formally by:
\begin{equation} v = a_1v_1+\dots+a_{m}v_{m} \end{equation}