A First Course in Linear Algebra
by Robert A. Beezer
Publisher: University of Puget Sound 2010
Number of pages: 1035
A First Course in Linear Algebra is an introductory textbook aimed at college-level sophomores and juniors. Typically such a student will have taken calculus, but this is not a prerequisite. The book begins with systems of linear equations, then covers matrix algebra, before taking up finite-dimensional vector spaces in full generality. The final chapter covers matrix representations of linear transformations, through diagonalization, change of basis and Jordan canonical form. Along the way, determinants and eigenvalues get fair time.
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by Arak Mathai, Hans J. Haubold - De Gruyter Open
This textbook on linear algebra is written to be easy to digest by non-mathematicians. It introduces the concepts of vector spaces and mappings between them without dwelling on theorems and proofs too much. It is also designed to be self-contained.
by Marcel B. Finan - Arkansas Tech University
This book is addressed primarely to second and third year college students who have already had a course in calculus and analytic geometry. Its aim is solely to learn the basic theory of linear algebra within a semester period.
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.
by Keith Matthews - University of Queensland
This an introduction to linear algebra with solutions to all exercises. It covers linear equations, matrices, subspaces, determinants, complex numbers, eigenvalues and eigenvectors, identifying second degree equations, three–dimensional geometry.