Terry Tao's Linear Algebra Lecture Notes
math.ucla.edu
math.ucla.edu
https://news.ycombinator.com/item?id=2772019
The poster there described these notes as:
"He (Terry Tao) didn't like the book, so he decided to write his own lecture notes, which formed a book unto themselves. (...) If you ever have the itch to learn linear algebra, read them, they're quite excellent."