Lecture

Matrix Representations of Linear Applications

Description

This lecture covers the concept of matrix representations of linear applications in R³, focusing on the matrices that represent a linear application in the canonical base. It explains the process of decomposing the family of f(B) on B' and discusses the invariance of the rank of f. The lecture also delves into the notion of finding 'single' representatives and explores the properties of different matrices in the context of linear algebra.

Official source

https://mediaspace.epfl.ch/media/0_g4hea20r

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Ontological neighbourhood

Mathematics

Algebra: Linear algebra

Theoretical computer science

Programming language theory: High-level programming languages

Logic

Classical logic: First-order logic

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