Change of basis | Chapter 13, Essence of linear algebra

How do you translate back and forth between coordinate systems that use different basis vectors? Help fund future projects: https://www.patreon.com/3blue1brown An equally valuable form of support is to simply share some of the videos. Home page: https://www.3blue1brown.com/ Future series like this are funded by the community, through Patreon, where supporters get early access as the series is being produced. http://3b1b.co/support Thanks to these viewers for their contributions to translations Vietnamese: @ngvutuan2811