Lecture

Vector Spaces: Definitions and Examples

In course

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Description

This lecture introduces the concept of vector spaces, defining them as a structure over a field with specific properties. Examples are provided to illustrate vector spaces over finite fields, emphasizing operations like vector addition and scalar multiplication. The lecture also covers subspaces, linear independence, and the span of vectors in a finite-dimensional vector space.

Instructor

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Official source

https://mediaspace.epfl.ch/media/0_zx9x60ch

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Ontological neighbourhood

Mathematics

Algebra: Linear algebra

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