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 W W L Chen - Macquarie University
Linear equations, matrices, determinants, vectors, vector spaces, eigenvalues and eigenvectors, linear transformations, real inner product spaces, orthogonal matrices, applications of real inner product spaces, complex vector spaces.
by Paul Dawkins - Lamar University
These topics are covered: Systems of Equations and Matrices; Determinants; Euclidean n-space; Vector Spaces; Eigenvalues and Eigenvectors. These notes do assume that the reader has a good working knowledge of basic Algebra.
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 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.