Back to course overview:Linear Algebra

Lesson 2 of 26 · Vectors and Space

Linear combinations, span, and basis vectors

3Blue1Brown10mVideo

The idea the whole subject rests on: coordinates are not properties of a vector, they are instructions relative to a chosen basis. Everything in chapter thirteen follows from taking this seriously.

Video not playing? Some channels disable embedding, and there is no way around it.Open on YouTubeinstead — then come back and mark it complete.