Free Linear Algebra Textbooks

Linear algebra is an advanced undergraduate course that is usually required for students majoring in mathematics, engineering and computer science. Students are generally expected to have completed 2 semesters of calculus prior to their study of linear algebra. One university requires students have 3 semesters of calculus. Some linear algebra textbooks cover the prerequisite information for students and there are a number of conversations online where folks are debating the need for the calculus background. My suggestion is to follow your college or university’s course catalog guidelines.

Despite attending a summer term at a large university with an extensive library, students in my class had to rely upon each other (the instructor seemed to make a game out of not being available outside of class). Today’s students can find help with vector or linear spaces, linear functions and matrix theory from one of the textbooks here on The Free Textbook List and a number of other online resources.

There are a number of free online linear algebra textbooks available. More than likely they pretty much cover the same topics. If you can’t reach that ‘aha’ moment with one, try a different one.

List of Free Linear Algebra Textbooks

A First Course on Linear Algebra

Written by: Robert A Beezer (Puget Sound)

Free online linear algebra textbook written by Robert A Beezer offered online and as a downloadable PDF file.

Comprehensive Introduction to Linear Algebra

Written by: Joel G. Broida and S. Gill Williamson

Comprehensive Introduction to linear algebra that is designed for students and as a reference for professionals. Authors over-explain rather than assume knowledge of key concepts.

Course of Linear Algebra and Multidimensional Geometry

Written by: Ruslan A. Sharipov (Bashkir State University)

If all of the Russian universities use Sharipov’s Linear Algebra Textbook it should useful for all mathematics students. Well translated from Russian to English.

Elementary Linear Algebra

Written by: Keith Matthews (University of Queensland)

Elementary linear algebra textbook written by Keith Matthews. It appears to be a somewhat traditional text accompanied by solutions to the exercises.

Elements of Abstract and Linear Algebra

Written by: Edwin H. Connell (University of Miami)

Free online textbook on the elements of abstract and linear algebra. Begun in 1965, Edwin H. Connell continues to provide students with a simpler text.

Introduction to Matrix Algebra

Written by: Autar K Kaw (University of South Florida)

Designed for STEM students, this self-study course and online matrix algebra textbook are available for free for all students. Written by Autar K Kaw.

Introduction to Vectors and Tensors, Vol 1 Linear and Multilinear Algebra

Written by: Ray M. Bowen (Texas A&M University) and C.C. Wang (Rice University)

Part 1 of a 2 volume set of free online textbooks on vectors and tensors. Part 1 focusses on linear and multilinear algebra.

Linear Algebra

Written by: Jim Hefferon (Saint Michael's College)

This online linear algebra textbook offers extensive problems and a complete solution set – a great option for self-study or students needing extra help.

Linear Algebra Done Wrong

Written by: Sergei Treil (Brown University)

Dr. Treil’s Linear Algebra Done Wrong takes a new approach from the cookbook style math text to prepare students for modern theoretical mathematics study.

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