9.1: Inner Products - Mathematics LibreTexts
https://math.libretexts.org/Bookshelves/Linear_Algebra/Book%3A_Linear_Algebra_(Schilling_Nachtergaele_and_Lankham)/09%3A_Inner_product_spaces/9.01%3A_Inner_Products
WEBAn inner product space is a vector space over \(\mathbb{F} \) together with an inner product \(\inner{\cdot}{\cdot}\). Example 9.1.4. Let \(V=\mathbb{F}^n \) and \(u=(u_1,\ldots,u_n), v=(v_1,\ldots,v_n)\in \mathbb{F}^n\). Then we can define an inner product on \(V \) by setting \begin{equation*} \inner{u}{v} = \sum_{i=1}^n u_i \overline{v}_i.
DA: 77 PA: 80 MOZ Rank: 63