Hyperplane

Last updated Nov 1, 2022

Let $V$ be an Inner Product Space over $\mathbb{R}$. A Hyperplane is a Set of the form $$H = {x : \langle x, a \rangle = b}$$ for any $a \in V$ and $b \in \mathbb{R}$.

1. TODO - talk about the geometric interpretation, see Boyd - Convex Optimization - sect 2.2.1 page 27

• Real Numbers