Lecture
Real Vector Space: Basics
Description
This lecture covers the fundamental concepts of real vector spaces, including the definition of R^n as the set of n-tuples of real numbers, the properties of norms on R^n, examples of norms such as the Euclidean norm, and the definition of a scalar product on R^n. The lecture also introduces the properties of a scalar product, such as symmetry and bilinearity, and explores the relationship between norms and scalar products in Euclidean spaces.
Official source
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