Vector Spaces: Properties and Operations

In course

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Description

This lecture introduces the concept of vector spaces, focusing on properties and operations such as addition, scalar multiplication, and linear combinations. The lecture covers the ten axioms that define a vector space, illustrating with examples from matrices and polynomials.

Instructor

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Official source

https://mediaspace.epfl.ch/media/0_y4ffqs3e

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Ontological neighbourhood

Mathematics

Algebra: Linear algebra

Analysis: Functional analysis, Tensor analysis, Numerical analysis

Mathematical logic: Set theory

Education

Educational stages: Higher education

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