Who, What, Where, etc.:
Basics:
Deliverator: Prof. Peter Dodds.
Nowhereness: This is a free online course to take at your own pace.
All questions and solutions are openly available.
The course is structured with 15 weekisodes, making one seasonester. You can replace weeks with days, months, years, per your preference.
Over the seasonester, we follow the Hero's Journey of $\mathbf{A}\vec{x}=\vec{b}$.
Each week comprises (truly exciting) course material (notes and videos) and one level (assignment) or challenge level (a midterm exam).
The first 12 weeks are made up of 3 sets of 4 week cycles, each of which has 3 levels and 1 challenge level.
Weeks 13 and 14 bring us to the triumphant conclusion of $\mathbf{A}\vec{x}=\vec{b}$'s tale: Singular Value Decomposition.
In week 15, you take on the final boss level.Origin Story:
Introduction to Linear Algebra (3rd or 4th or 5th edition) by Gilbert Strang (published by Wellesley-Cambridge Press).
The textbook is entirely optional.
Strang (a total champion) provides a good portion of the 5th edition online here.The complete syllabus lives here.
Awesomeness level:
Very, very high. Matrixology is spectacular.
