Lecture

Linear Applications: Definitions and Properties

Description

This lecture covers the definition of linear applications in the general case of vector spaces, including injectivity, surjectivity, kernel, and image, with a specific focus on matrices. It also discusses the concepts of kernel and image of a linear application, as well as the bijection between linear applications and matrices, highlighting the isomorphism between them.

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Ontological neighbourhood

Mathematics

Algebra: Linear algebra, Abstract algebra

Analysis: Functional analysis

Mathematical logic: Set theory

Computer engineering

Computer architecture: Topics in computer architecture

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