Lecture

Linear Algebra: Vector Spaces

Description

This lecture covers the concept of vector spaces, including families of elements, vectorial subspaces, and linear combinations. It explores the properties of vector subspaces in R² and R³, discussing bases, parameterization, and optimal situations. The lecture also delves into free and linked families, as well as the geometric study of linear combinations. Examples and exercises are provided to illustrate the theoretical concepts.

Official source

https://mediaspace.epfl.ch/media/0_grasbg87

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Ontological neighbourhood

Mathematics

Algebra: Linear algebra

Mathematical logic: Set theory

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