In this video, I define the notion of an annihilator of a subspace W, and show a neat identity relating the dimension of W and of its annihilator. This should be very reminiscent of the rank-nullity theorem. In a future video (see below), I show why it's useful by showing an amazing corollary. Enjoy!
Amazing corollary: https://www.youtube.com/watch?v=ZUm5MqMDdl4 (will be available on 07/15)
Check out my dual spaces playlist: https://www.youtube.com/watch?v=OGO3HGlOQO4&list=PLJb1qAQIrmmCs0fJDQnXgeuyFR8iQDwLV
Subscribe to my channel: https://www.youtube.com/c/drpeyam