Computational and Algorithmic Linear Algebra and n-Dimensional Geometry
by Katta G. Murty
Number of pages: 554
This is a sophomore level web-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. It is written in a simple style with lots of examples so that students can read most of it on their own.
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(multiple PDF files)
by Mohammed Kaabar
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 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.
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 M.E. Myers, P.M. van de Geijn, R.A. van de Geijn - ulaff.net
This document is a resource that integrates a text, videos, and hands-on activities. It connects hand calculations, mathematical abstractions, and computer programming. It encourages you to develop the theory of linear algebra by posing questions.