Vector Spaces: Definitions and Generators

Description

This lecture introduces the concept of vector spaces, defining them as sets equipped with addition and scalar multiplication. It covers subspaces, linear combinations, and families of elements generating subspaces. The lecture also explores the notions of linear independence and dependence, illustrating them with examples.

Official source

https://mediaspace.epfl.ch/media/0_njrvk6ms

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Ontological neighbourhood

Mathematics

Algebra: Linear algebra

Analysis: Functional analysis

Psychology

Basic psychology: Developmental psychology

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