Linear and Geometric Algebra, by Alan MacDonald. http://www.faculty.luther.edu/~macdonal/laga/ It's a great and very geometric presentation of linear algebra that takes it through to geometric algebra. A very nice presentation of a coherent set of geometric techniques.
Linear and Geometric Algebra
Alan Macdonald
Linear and Geometric Algebra
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Alan Macdonald Linear and Geometric Algebra
"Linear and Geometric Algebra" by Alan Macdonald. It's definitely not the norm compared to many of the other listings in this thread but it definitely gave me a better understanding of many algebraic properties and helped build an intuition around spaces, vectors, products, etc. It doesn't have a ton of graphics, to which you might snub your nose at it (you mentioned visual learning), but the graphics it does have are incredibly useful for building a geometric understanding of what linear algebra concepts map to. The subsection on quaternions and pseudoscalars is one of the best descriptions of such in my experience.
Books I'm glad I've read: The Inner Game of Tennis Impro by Keith Johnstone Seeing Like a State The Timeless Way of Building Linear and Geometric Algebra by Alan Macdonald Meditations by Marcus Aurelius (read this one thrice) The Tao of Pooh Science, Strategy and War: The Strategic Theory of John Boyd The Drama of the Gifted Child Interaction Ritual What Do You Say After You Say Hello? Of niche use: Mathematics: its Content, Methods and Meaning - mostly useful for figuring out what math you don't know. I recommend reading it at a fairly decent pace, and noting what subjects don't sound like an overview of something you've already learned.
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Linear and Geometric Algebra by Alan Macdonald. It's a nice book but a bit slow for my taste. I wonder if anyone has a recommendation for a fast paced route to geometric algebra for somebody who is already familiar with conventional math?