arXiv:math/0405323math.HO
Course of linear algebra and multidimensional geometry
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Abstract
This is a standard textbook for the course of linear algebra and multidimensional geometry as it was taught in 1991-1998 at Mathematical Department of Bashkir State University. Both coordinate and invariant approaches are used, but invariant approach is preferred.
Ruslan Sharipov wrote a text on the subject : http://arxiv.org/pdf/math/0405323v1.pdf It is very good and explains all the proofs and definitions very well.
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