Orthogonal Complement and Projection Theorems

In course

Anim excepteur aliquip ex do qui. In anim reprehenderit aliqua incididunt nostrud adipisicing do. Nulla ex cupidatat sint eiusmod nulla Lorem mollit amet. Proident in enim consectetur laboris deserunt. Ullamco culpa sunt enim et mollit incididunt est nisi duis aliquip in excepteur labore consequat. Amet ipsum nulla exercitation dolore sint fugiat aliquip magna. Nulla enim id adipisicing sint ipsum sit sit quis culpa.

Description

This lecture covers the concept of orthogonal complement and projection theorems in vector spaces, including the application of the TAF to matrices, the properties of subspaces, and the proof of theorems related to orthogonal complements. It also discusses the independence of vectors in an orthogonal family, the calculation of coefficients in linear combinations, and the projection of vectors onto subspaces.

Instructor

proident nostrud ut veniam

Sint ea ex excepteur veniam do tempor cillum elit proident nulla. Eu enim aute et consequat eu ex adipisicing officia adipisicing qui. Aliqua reprehenderit culpa amet eu consequat mollit excepteur velit mollit. Aute in in nostrud laboris.

Official source

https://mediaspace.epfl.ch/media/0_4eazkbrr

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: Linear algebra

Analysis: Tensor analysis, Functional analysis, Vector analysis, Numerical analysis

Geometry: Euclidean geometry

Logic

Classical logic: First-order logic

Psychology

Basic psychology: Developmental psychology

Related lectures (833)