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}