This is an early, incomplete draft of a linear algebra textbook. Please see http://projectivepress.com/LinearAlgebra for further information, and a hyperlinked downloadable copy cropped for viewing... More > on-screen.< Less

Linear Algebra by Jim Hefferon is released under the GNU Free Documentation license. Electronic copies may be downloaded for free. Hardcover copies are available for the cost of manufacturing (the... More > publisher receives no additional revenue). The book covers the material of a first undergraduate Linear Algebra course. The coverage is standard: linear systems and Gauss' method, vector spaces, linear maps and matrices, determinants, and eigenvectors and eigenvalues. Prerequisites: a semester of calculus. Students with three semesters of calculus can skip a few sections. The approach is developmental. It does not start with an assumption that students are already able at abstract work. Instead, it proceeds with a great deal of motivation, many computational examples, and exercises that range from routine verifications to (a few) challenges. The goal is, in the context of developing the usual material of an undergraduate linear algebra course, to help raise the level of mathematical maturity of the class.< Less

Linear Algebra by Jim Hefferon is released under the GNU Free Documentation license. Electronic copies may be downloaded for free. Hardcover copies are available for the cost of manufacturing (the... More > publisher receives no additional revenue). The book covers the material of a first undergraduate Linear Algebra course. The coverage is standard: linear systems and Gauss' method, vector spaces, linear maps and matrices, determinants, and eigenvectors and eigenvalues. Prerequisites: a semester of calculus. Students with three semesters of calculus can skip a few sections. The approach is developmental. It does not start with an assumption that students are already able at abstract work. Instead, it proceeds with a great deal of motivation, many computational examples, and exercises that range from routine verifications to (a few) challenges. The goal is, in the context of developing the usual material of an undergraduate linear algebra course, to help raise the level of mathematical maturity of the class.< Less

This is a book on elementary linear algebra. It is designed for a second year university student who has had beginning courses in math such as calclulus.

(CC BY) This textbook, published by Textbook Equity, is an open education resource released by The Saylor Foundation under a Creative Commons license. The original textbook, written by Kenneth... More > Kuttler, was chosen by the Saylor Foundation, after a thorough peer review, to be the companion textbook to their online course.
This is an introduction to linear algebra. The main part of the book features row operations and everything is done in terms of the row reduced echelon form and speciﬁc algorithms. At the end, the more abstract notions of vector spaces and linear transformations on vector spaces are presented. However, this is intended to be a ﬁrst course in linear algebra for students who are sophomores or juniors who have had a course in one variable calculus and a reasonable background in college algebra.< Less

This is a book on linear algebra and matrix theory. While it is self contained, it will work best for those who have already had some exposure to linear algebra. It is also assumed that the reader... More > has had calculus. Some optional topics require more analysis than this, however. I think that the subject of linear algebra is likely the most significant topic discussed in undergraduate mathematics courses. Part of the reason for this is its usefulness in unifying so many different topics. Linear algebra is essential in analysis, applied math, and even in theoretical mathematics. This is the point of view of this book, more than a presentation of linear algebra for its own sake. This is why there are numerous applications, some fairly unusual.< Less

This is a paper-bound edition of a graduate algebra text originally published by Harper & Row as Groups, Rings, Modules, and written by M. Auslander and D. Buchsbaum. I changed the title to... More > conform to the one that Auslander and I had originally preferred.< Less

This book is for anyone who would like to get a good overview of linear algebra in
a relatively short amount of time.
Those who will get the most out of The Manga Guide to Linear Algebra... More > are:
University students about to take linear algebra, or those who are already taking
the course and need a helping hand
Students who have taken linear algebra in the past but still don’t really understand
what it’s all about
High school students who are aiming to enter a technical university
Anyone else with a sense of humor and an interest in mathematics!< Less

This textbook was designed for senior undergraduates in mathematics, engineering and the sciences with diverse backgrounds and goals. It presents modern tools from numerical linear algebra with... More > supporting theory along with examples and exercises, both theoretical and computational with MATLAB. The major topics of numerical linear algebra covered are direct methods for solving linear systems, iterative methods for large and sparse systems (including the conjugate gradient method) and eigenvalue problems. Basic linear algebra (of the type taken in the engineering curriculum) is assumed. Further matrix theory is developed in a self contained way when needed to explain why methods work and how they might fail.< Less