Dual Space

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 \((v^{*}_{1},…,v^{*}_{n})\).