[ textbook: linear algebra done right ]
the geometry of transformation.
moving through spaces that don't yet exist.
vectors are just arrows in the dark until you find a basis.
linear maps are the bridges between worlds.
matrices are just the shadows they cast on a coordinate plane.
notes on Sheldon Axler's study of finite-dimensional vector spaces.
the clean approach
Axler’s philosophy is simple: Down with Determinants. By focusing on operators and invariant subspaces first, the structure of linear algebra becomes intuitive rather than computational.
“Determinants are difficult, non-intuitive, and often defined without motivation.”