I really need a good book with some solved exercises about Linear Algebra and Affine Geometry (orthonormal basis, rotations, etc.). I want to understand the algorithms to solve that kind of problems but I can't understand the theory, it's too unclear and I think that some exercises can help me a lot. Thank you!
EDIT: I want a book which present a lot of exercises with complete solutions, especially to prepare for exams and for better understanding
EDIT 2 : I really appreciate if you can recommend a book which contains : system of vectorial equations, rotation of basis, etc. I don't know why, but in general these concepts are missed from the books.