Linear Algebra: Foundations to Frontiers
by M.E. Myers, P.M. van de Geijn, R.A. van de Geijn
Publisher: ulaff.net 2014
Number of pages: 905
This document is a resource that integrates a text, a large number of videos (more than 270 by last count), and hands-on activities. It connects hand calculations, mathematical abstractions, and computer programming. It encourages you to develop the mathematical theory of linear algebra by posing questions rather than outright stating theorems and their proofs. It introduces you to the frontier of linear algebra software development.
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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.
by Mohammed Kaabar - Arxiv.org
There are five chapters: Systems of Linear Equations, Vector Spaces, Homogeneous Systems, Characteristic Equation of Matrix, and Matrix Dot Product. It has also exercises at the end of each chapter above to let students practice additional problems.
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 W. Keith Nicholson - Lyryx
The aim of the text is to achieve a balance among computational skills, theory, and applications of linear algebra. It is a relatively advanced introduction to the ideas and techniques of linear algebra targeted for science and engineering students.