Linear Algebra
Jim Hefferon
This book is very good -- organization, typesetting and visual presentation, clarity, reasonable rigor (not exaggerated, but not lacking), good examples, several exercises (from simple operational "calculate this" to others that require more thinking or involve modeling) -- overall, it's very good... Hefferon has clearly made a great effort to find relevant examples and to make everything as clear as possible. Lots of theorems are proved, but the book is *not* dense or terse -- on the contrary!
There is also some (just a bit, actually) computer code used as example (Scheme, C, Python, Octave, Fortran).
There are special sections on computer algebra systems, crystallography, voting paradoxes, projective geometry, for example.
Solutions to the exercises are available fro mthe author's website.
Undergrads having problems with Linear Algebra should check out this book.
By the way, the book is also available for free from his website (but the printed copy is absolutely worth the price)
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