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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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.
by Jim Hefferon - Saint Michael's College
This is an undergraduate linear algebra textbook, it covers linear systems, Gauss' method, vector spaces, linear maps and matrices, determinants, and eigenvectors and eigenvalues. Each chapter is followed by additional topics and applications.
by José Figueroa-O'Farrill - The University of Edinburgh
These are the lecture notes and tutorial problems for the Linear Algebra module. The text is divided into three parts: (1) real vector spaces and their linear maps; (2) univariate polynomials; (3) introduction to algebraic coding theory.
by Andrew Baker - University of Glasgow
The text covers basic ideas and techniques of Linear Algebra that are applicable in many subjects including the physical and chemical sciences, and statistics. These notes were originally written for a course at the University of Glasgow.