Lecture

Vector Spaces: Bases and Subspaces

In course

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Description

This lecture covers the concept of bases in vector spaces, including the definition of a basis, the existence of a basis for a vector space, and the extraction of bases from incomplete families. It also discusses vector subspaces, such as vector lines and planes, and their relationship with bases. The instructor explains the theorems related to bases and subspaces, providing evidence and examples to illustrate these concepts.

Instructors (2)

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Official source

https://mediaspace.epfl.ch/media/0_kko8ugir

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Ontological neighbourhood

Mathematics

Algebra: Linear algebra

Analysis: Functional analysis

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