---
title: "linear combination"
type: concept
related: [Vector, Linear Combination]
source: https://www.jemoka.com/posts/kbhlinear_combination/
confidence: high
status: active
---

A Linear Combination of vectors is a&hellip; 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}
