# Dual Space

##### Updated: November 12, 2020

The space of all linear functionals \(f:V\rightarrow \mathbb{R}\), noted as \(V^{*}\)

The `dual space`

has the same dimension as the corresponding vector space or, given a space \(V\), with bases \((v_{1},…,v_{n})\), there exists a `dual space`

\(V^{*}\) with a dual basis \((v^{*}_{1},…,v^{*}_{n})\).