Eigenvectors and eigenvalues | Chapter 14, Essence of linear algebra

Then definitely what 3Blue1Brown's video on eigenvalues and eigenvectors. [1] That's when I clicked to me! His entire series on Linear Algebra is incredibly well produced. [1] ▶ this video

By far the best explanation of eigenvalues is found on 3blue1brown: ▶ this video Seriously, the course on the essence of linear algebra did more for me than my entire college linear algebra course. It's only a pity I discovered the videos at the end of my mechanical engineering degree and not sooner.

A far easier to digest primer on eigenvalues is available from 3Blue1Brown [+]. His presentation format is undeniably approachable, so much so that I think you could probably use it to teach linear algebra and eigenvectors to 9-year olds. [+] ▶ this video

3Blue1Brown has a good series on YouTube for building intuition in linear algebra: link In one of the last videos in the (relatively short) series, he discusses eigen-*: ~'eigen-stuffs are straight-forward but only make sense if you have a solid visual understanding of the pre-requisites (linear transformations, determinants, linear systems of equations, change of basis, etc.). Confusion about eigen-stuffs usually has more to do with a shaky foundation than the eigen-things themselves' ▶ this video All of the videos in the series, including this later one on eigen-things, focus on animations to show what the number crunching is doing to the coordinate system.

3Blue1Brown explanation of eigenvectors and eigenvalues is very insightful and intuitive [1]. One of my favorite videos from his channel is "Who cares about topology? (Inscribed rectangle problem)" [2]. They way a Torus and Möbius Strip come up as solution to the problem is so elegant. [1]: ▶ this video [2]: link

On the topic of eigenvalues, this video is a very nice introduction: ▶ this video (the whole playlist kicks ass; highly recommended for anyone interested in "seeing" what linear algebra is all about)