Lecture

Vector Spaces: Definition, R2

Description

This lecture introduces the concept of vector spaces, defined as a non-empty set with binary addition and scalar multiplication. The lecture covers the axioms that define an R-vector space, including commutativity, associativity, distributivity, and the existence of neutral and inverse elements. It also explores geometric examples in R2, illustrating how vector spaces are applied in a geometric context.

In MOOCs (9)

Instructor

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Official source

https://mediaspace.epfl.ch/media/0_mvm04xnh

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Ontological neighbourhood

Mathematics

Algebra: Linear algebra

Arithmetic: Topics in arithmetic

Analysis: Functional analysis

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