Hello! This is the tenth chapter in my series "Maths of Quantum Mechanics." In this episode, we'll define the commutator, and we'll derive how commuting observables share a simultaneous eigenbasis. We'll then dive into how non-commutation necessarily leads to uncertainty relations in quantum mechanics. If you have any questions or comments, shoot me an email at: quantumsensechannel@ Thanks! Animations: All animations created by me within Python, using Manim. To learn more about Manim and to support the community, visit here: Link: Music: -------------------------------------------------------------- ♪ Astral 1 by Patricia Taxxon Link : --------------------------------------------------------------