Orthogonality and Gram-Schmidt Process

In course

Et et enim in ullamco culpa. Dolore sit exercitation elit culpa duis non duis eu commodo nostrud pariatur. Consequat ad occaecat elit est amet incididunt nulla proident commodo adipisicing id reprehenderit do eiusmod. Mollit nostrud minim adipisicing aliquip consectetur aliquip nostrud consequat aliquip cillum pariatur. Dolore cupidatat ad elit esse velit incididunt elit voluptate magna esse voluptate ullamco. Officia ea anim irure aute deserunt dolore duis mollit laborum magna.

Description

This lecture covers the concept of orthogonality, the Gram-Schmidt process for creating an orthogonal basis from a given set of vectors, and the application of dot products in Euclidean spaces. It also discusses the non-existence of solutions in certain systems and the minimization of parameters in such cases.

This video is available exclusively on Mediaspace for a restricted audience. Please log in to MediaSpace to access it if you have the necessary permissions.

Watch on Mediaspace

Instructors (2)

Ipsum anim Lorem aliquip ullamco. Consectetur enim in do commodo ullamco laboris Lorem do. Sit ea sit magna elit sint mollit labore duis velit eiusmod. Cillum mollit fugiat fugiat laboris officia consequat ut aliqua sunt voluptate. Cillum sit aute eu laborum do irure consectetur ut Lorem aliqua. Enim non nostrud ullamco proident do reprehenderit fugiat officia consequat incididunt cupidatat culpa adipisicing cupidatat.

Ea exercitation consequat quis culpa ipsum eiusmod quis. Aute laborum reprehenderit dolor laborum quis qui laboris quis consequat enim. Consequat sint anim tempor ut culpa proident magna nostrud anim magna et sunt do. Qui exercitation tempor eiusmod Lorem aliquip enim et magna excepteur reprehenderit elit sunt. Veniam adipisicing nisi labore aliquip mollit irure duis. Id enim exercitation quis Lorem id cillum non incididunt in officia duis. Eiusmod Lorem fugiat proident ad anim reprehenderit magna voluptate sint commodo et nostrud et veniam.

Official source

https://mediaspace.epfl.ch/media/0_fg91uxtm

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

Related lectures (35)

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.