---
title: "-1v=-v"
source: https://www.jemoka.com/posts/kbh1v_1/
---

\begin{align} v+(-1)v &amp;= (1+(-1))v \\ &amp;= 0v \\ &amp;= 0 \end{align}
As \((-1)v=0\), \((-1)v\) is the additive identity of \(v\) which we defined as \(-v\) \(\blacksquare\).
