[unao]

Hmm, that is interesting. Let me cite a book Geometric Algebra for Computer Science:

To understand the structure of the book, you need a better feeling for what geometric algebra is, and how it relates to more classical techniques such as linear algebra.

I followed first chapters of this book and it does not require any knowledge of Linear Algebra.

[auggierose]

I read that book as well, it is great for motivation, but mathematically a little sloppy (otherwise you wouldn't come away from it thinking you don't need linear algebra...). It doesn't say so, but it first introduces the linear algebra you need to know: vector spaces, inner products, etc., but without rigorous proofs for basics.