源: 线性代数的本质 内容来自字幕. Let me quote without further comment from Dieudonné's "Foundations of Modern Analysis, Vol. 1" There is hardly any theory which is more elementary than linear algebra, in spite of the fact that generations of professors and te…
Chapter 6 6.1 Inner Products and Norms Definition (inner product). Let V be a vector space over F. An inner product on V is a function that assigns, to every ordered pair of vectors x and y in V, a scalar in F, denoted \(⟨x,y⟩\), such that for all x,…