Watch and track your favorite playlist.
Curated by: Looking Glass Universe (112 videos)
This video is part of a linear algebra series: Vectors and Bases: https://youtu.be/3ZfrJ0Sk5iY Matrices and Linear Transforms: https://youtu.be/CBIO4xJ1Cok Matrix inverses: https://youtu.be/ESKcF8XFzLM This video is about changing the basis (or coordinate system) of a matrix or a vector. While the change of basis formula is often presented as something to just memorise, we'll see it's actually very very straightforward to understand. Hints for homework: 1. You can do it! Think about what it does to the basis vectors! 2. Remember, in the original case you first translate the input vector from Bob's basis to Alice's so you can apply M_a, then translate back. A similar idea applies, but you need to translate to something M_a can take as input. Answers to homework below!!! Answers The answer to question one is 2. The answer to question two is 3.