Find more here: https://tbsom.de/s/ala Support the channel on Steady: https://steadyhq.com/en/brightsideofmaths Or via other methods: https://thebrightsideofmathematics.com/support/ Or support me via PayPal: https://paypal.me/brightmaths Or via Ko-fi: https://ko-fi.com/thebrightsideofmathematics Or via Patreon: https://www.patreon.com/bsom Or via YouTube: null Watch the whole video series about Abstract Linear Algebra and download PDF versions and quizzes: https://tbsom.de/s/ala There is also a dark mode version of this video: https://www.youtube.com/watch?v=iTSbHzXhagA There is also a bright mode version of this video: https://www.youtube.com/watch?v=YCW1zTk4C9w To find the YouTube-Playlist, click here for the bright version:    • Abstract Linear Algebra   And click here for the dark version of the playlist:    • Abstract Linear Algebra [dark]   Thanks to all supporters! They are mentioned in the credits of the video :) This is my video series about Abstract Linear Algebra. We will discuss abstract vector spaces, abstract inner products, the change-of-basis matrix,different bases, polynomial spaces, and so on. I hope that it will help everyone who wants to learn about it. For any questions, please leave a comment or come to the community forum of the Bright Side of Mathematics: https://tbsom.de/s/community #LinearAlgebra #FunctionalAnalysis #Mathematics #LearnMath #calculus I hope that this helps students, pupils and others. Have fun! (This explanation fits to lectures for students in their first and second year of study: Mathematics for physicists, Mathematics for the natural science, Mathematics for engineers and so on) The Bright Side of Mathematics has whole video courses about different topics and you can find them here https://tbsom.de/s/start