Lecture

Linear Combinations and Vector Spaces

Description

This lecture covers the concept of linear combinations in vector spaces, where a vector is expressed as a linear combination of other vectors with specific weights. It also introduces the notion of an additive identity and operations in vector spaces, such as addition and scalar multiplication. The lecture further explores polynomials of degree 2, matrices, and operations on n-tuples. Examples are provided to illustrate these concepts.

Official source

https://mediaspace.epfl.ch/media/0_fct1bmwd

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: Numerical analysis

Related lectures (29)

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.