Lecture

Scalar Products: Definition, Examples

Description

This lecture covers the definition of a scalar product on a real vector space, including its symmetry, additivity, and positivity properties. Examples are provided, such as the usual scalar product in R^n and matrix spaces. The lecture also explores scalar products in function spaces, specifically in the space of continuous functions on a closed interval. Various properties and computations related to scalar products are discussed.

In MOOCs (9)

Instructor

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Official source

https://mediaspace.epfl.ch/media/0_nvnx78hx

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Ontological neighbourhood

Mathematics

Analysis: Functional analysis

Algebra: Linear algebra

Topology: General topology

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