Lecture

Linear Algebra: Vector Spaces

Description

This lecture covers the concept of vector spaces, including families of elements, vectorial subspaces, and linear combinations. It explores the properties of vector subspaces in R² and R³, discussing bases, parameterization, and optimal situations. The lecture also delves into free and linked families, as well as the geometric study of linear combinations. Examples and exercises are provided to illustrate the theoretical concepts.

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.
Related lectures (36)
Polynomials: Operations and Properties
Explores polynomial operations, properties, and subspaces in vector spaces.
Linear Algebra Basics
Covers the basics of linear algebra, emphasizing the identification of subspaces through key properties.
Vector Spaces: Structure and Bases
Covers vector spaces, bases, and decomposition of vectors in R³.
Orthogonality and Projection
Covers orthogonality, scalar products, orthogonal bases, and vector projection in detail.
Orthogonal Complement and Projection Theorems
Explores orthogonal complement and projection theorems in vector spaces.
Show more

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.