What is a Vector Space? (Abstract Algebra)

Vector spaces are one of the fundamental objects you study in abstract algebra. They are a significant generalization of the 2- and 3-dimensional vectors you study in science. In this lesson we talk about the definition of a vector space and give a few surprising examples. Be sure to subscribe so you don’t miss new lessons from Socratica: ♦♦♦♦♦♦♦♦♦♦ We recommend the following textbooks: Dummit & Foote, Abstract Algebra 3rd Edition Milne, Algebra Course Notes (available free online) ♦♦♦♦♦♦♦♦♦♦ Ways to support our channel: ► Join our Patreon : ► Make a one-time PayPal donation: ► We also accept Bitcoin @ 1EttYyGwJmpy9bLY2UcmEqMJuBfaZ1H