Elementary Linear Algebra
by Keith Matthews
Publisher: University of Queensland 1998
Number of pages: 302
This an introduction to linear algebra with solutions to all exercises. It covers linear equations, matrices, subspaces, determinants, complex numbers, eigenvalues and eigenvectors, identifying second degree equations, and three–dimensional geometry.
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by Benjamin McKay - University College Cork
These notes are drawn from lectures given for a first year introduction to linear algebra. The prerequisites for this course are arithmetic and elementary algebra, and some comfort and facility with proofs, particularly using mathematical induction.
by Edwin H. Connell
Covers abstract algebra in general, with the focus on linear algebra, intended for students in mathematics, physical sciences, and computer science. The presentation is compact, but still somewhat informal. The proofs of many theorems are omitted.
by Peter Saveliev
This is a textbook for a one-semester course in linear algebra and vector spaces. An emphasis is made on the coordinate free analysis. The course mimics in some ways a modern algebra course. Calculus is a prerequisite for the course.
The book was designed specifically for students who had not previously been exposed to mathematics as mathematicians view it. That is, as a subject whose goal is to rigorously prove theorems starting from clear consistent definitions.