Lecture

Dimension of a Subspace

Description

This lecture covers the concept of the dimension of a subspace in a finite-dimensional vector space. It explains the theorems related to subspaces, including the conditions for a subspace to have the same dimension as the vector space. Through examples, the instructor demonstrates how to determine if a given subspace is equal to the entire vector space. The lecture also discusses the existence of bases for subspaces and how to verify if a subspace is a basis for the vector space.

In MOOCs (9)

Instructor

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Official source

https://mediaspace.epfl.ch/media/0_14jqugc8

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Ontological neighbourhood

Mathematics

Algebra: Linear algebra

Analysis: Functional analysis

Logic

Classical logic: First-order logic

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