Linear Independence and Bases in Vector Spaces

In course

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Description

This lecture covers the concepts of linear independence, bases, and change of basis matrices in vector spaces. It explains how to determine linear independence, construct bases, and find the coordinates of vectors in different bases. The lecture also discusses the representation of vectors using unique scalars and the properties of change of basis matrices.

Instructor

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Official source

https://mediaspace.epfl.ch/media/0_lf1phmah

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Ontological neighbourhood

Mathematics

Algebra: Linear algebra, Representation theory

Geometry: Euclidean geometry

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