Lecture

Orthogonal Families and Projections

Description

This lecture covers the concept of orthogonal families in R^n, proving that such families are linearly independent. It also introduces the notion of orthonormal bases, where vectors are both orthogonal and unitary. The lecture further discusses projections, including orthogonal projections and their applications in matrix operations.

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

Official source

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

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: Functional analysis

Related lectures (88)

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.