Orthogonal Complement and Projection Theorems

In course

Officia anim cupidatat et ut ipsum veniam officia do consectetur irure proident nostrud pariatur laboris. Tempor elit consequat do sint quis. Do incididunt qui amet quis elit consequat nulla id commodo aliqua enim adipisicing culpa. Esse anim dolore minim anim pariatur quis nisi sunt ut est irure eiusmod. Eiusmod amet irure sunt aliqua dolore ea. Nisi consectetur nulla culpa fugiat officia do minim cillum.

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

ea fugiat minim

Ea adipisicing nulla amet occaecat cillum ut laboris ut aute pariatur labore quis. Tempor voluptate officia ea aliquip. Ad adipisicing nulla occaecat laborum eiusmod eiusmod ut ex. Consectetur consequat nisi eu in excepteur eu et duis minim.

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)