Elementary Linear Algebra
by Kenneth Kuttler
Publisher: The Saylor Foundation 2012
Number of pages: 433
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. I have given complete proofs of all the fundamental ideas but some topics such as Markov matrices are not complete in this book but receive a plausible introduction.
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by J. Strom, K. Astrom, T. Akenine-Moller - immersivemath
This is a linear algebra book built around interactive illustrations. Each chapter starts with an intuitive concrete example that practically shows how the math works using interactive illustrations. After that, the more formal math is introduced.
by Sergei Treil
This book covers a first course of linear algebra, it introduces mathematically advanced students to rigorous proof and formal definitions. The author of the text tried to emphasize topics important for analysis, geometry and probability.
by Robert A. Beezer - University of Puget Sound
Introductory textbook for college-level sophomores and juniors. It covers systems of linear equations, matrix algebra, finite-dimensional vector spaces, matrix representations of linear transformations, diagonalization, Jordan canonical form, etc.
by Katta G. Murty
A sophomore level book on linear algebra and n-dimensional geometry with the aim of developing in college entering undergraduates skills in algorithms, computational methods, and mathematical modeling. Written in a simple style with lots of examples.