Basis Vectors

Basis of a coordinate system
What's scaled in the xy coordinate system
Everything is expressed in terms of these basis vectors
Set of linearly independent vectors that span the full space.
Can transform between basis vectors using matrix multiplication.
- A^-1 M A = represent a transformation in another basis system.
- Can raise Aⁿ by using basis vectors
  - Aⁿ = S (S^-1 A S)ⁿ S^-1
3b1b essence