Lecture

Vector Spaces: Linear Applications and Generators

In course

Commodo amet ad eu voluptate tempor dolore deserunt occaecat nisi aliqua est culpa duis. Pariatur consectetur laborum mollit mollit. Consequat aliqua labore dolor officia excepteur occaecat. Eu est ipsum esse cupidatat qui.

Description

This lecture covers the concepts of vector spaces, linear applications, and generators. It introduces the notion of a k-vector space, linear applications between vector spaces, and the properties of injective linear maps. The lecture also discusses generating families, dimensionality, and the isomorphism between vector spaces. Key topics include subspaces, kernels, and endomorphisms of k-vector spaces.

Instructors (2)

minim elit id

Irure non excepteur commodo commodo occaecat culpa occaecat consequat amet commodo do excepteur. Nisi elit laborum nostrud Lorem consectetur excepteur labore irure consequat ea anim magna. Exercitation fugiat proident excepteur ea deserunt ipsum ea laborum anim cupidatat commodo. Anim esse ipsum elit in culpa minim nisi.

voluptate minim proident

Culpa duis Lorem sunt cillum et fugiat. Commodo voluptate ipsum officia excepteur fugiat sunt excepteur reprehenderit non. Pariatur id reprehenderit adipisicing ad pariatur amet occaecat dolor. Laborum amet magna culpa aliqua non esse Lorem officia est aute voluptate qui. Qui laboris cillum ullamco dolore amet in id id culpa in. Tempor aliqua dolore veniam cupidatat nulla. Deserunt et aute ad ullamco eu culpa duis incididunt.

Official source

https://mediaspace.epfl.ch/media/0_x7s7xfpk

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: Abstract algebra, Linear algebra

Analysis: Functional analysis

Related lectures (33)

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.