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 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 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 Ken Kuttler - Lyryx
The book presents an introduction to the fascinating subject of linear algebra. It is designed as a course in linear algebra for students who have a reasonable understanding of basic algebra. Major topics of linear algebra are presented in detail.
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.