Lecture

Vector Spaces: Operations and Linear Transformations

Description

This lecture covers the operations in vector spaces, including scalar multiplication and addition, as well as the concept of linear transformations. It discusses the structure of R² vector space, calculating combinations, subsets, and vector lines. The lecture also delves into the matrix representation of linear transformations and the intrinsic characterization of linear applications.

Official source

https://mediaspace.epfl.ch/media/0_8tpagsgz

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Ontological neighbourhood

Mathematics

Algebra: Linear algebra

Discrete mathematics: Graph theory

Analysis: Functional analysis

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