Lecture

Polynomial Factorization over a Field: Eigenvalues

In course

Laboris amet do culpa ut et voluptate. Sint qui culpa ea Lorem elit exercitation eu aliquip cillum laborum commodo. Excepteur quis ipsum deserunt sunt excepteur adipisicing culpa esse do sint labore nostrud.

Description

This lecture covers the factorization of polynomials over a field, focusing on eigenvalues. Topics include division with remainder, the Euclidean algorithm, factorization in irreducible components, and the uniqueness of factorization. The instructor demonstrates the process with examples and discusses the properties of irreducible polynomials and eigenvectors.

Instructor

voluptate veniam

Excepteur in minim aliqua minim minim. Nulla exercitation veniam duis sit ex consectetur do ipsum reprehenderit eu aliquip. Dolor labore exercitation aute consequat cillum nostrud velit ad veniam culpa eiusmod eu. Ea deserunt veniam officia ex consectetur. Reprehenderit id adipisicing mollit irure dolore exercitation pariatur excepteur. Commodo aliqua ullamco aute labore. Fugiat qui ipsum laborum pariatur cillum aliqua enim aute proident duis id Lorem laborum esse.

Official source

https://mediaspace.epfl.ch/media/0_5al0m5ut

About this result

This page is automatically generated and may contain information that is not correct, complete, up-to-date, or relevant to your search query. The same applies to every other page on this website. Please make sure to verify the information with EPFL's official sources.

Ontological neighbourhood

Mathematics

Algebra: Polynomials, Abstract algebra

Related lectures (32)

Graph Chatbot

Chat with Graph Search

Ask any question about EPFL courses, lectures, exercises, research, news, etc. or try the example questions below.

DISCLAIMER: The Graph Chatbot is not programmed to provide explicit or categorical answers to your questions. Rather, it transforms your questions into API requests that are distributed across the various IT services officially administered by EPFL. Its purpose is solely to collect and recommend relevant references to content that you can explore to help you answer your questions.