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 sets of problems other than examples, and they can also check their solutions to some of these exercises by looking at Answers to Odd-Numbered Exercises section at the end of this book.
This book is very useful for college students who studied Calculus I, and other students who want to review some linear algebra concepts before studying a second course in linear algebra.
This book is available online for free in google books and ResearchGate in PDF format under a Creative Commons license.
Available at https://arxiv.org/ftp/arxiv/papers/1807/1807.09352.pdf. Accessed 18 July 2019.
Mohammed Kaabar received all his undergraduate and graduate degrees in Mathematics from Washington State University (WSU), Pullman, WA, USA. He is a former lab instructor and math tutor at the Math Learning Center (MLC) at Washington State University, Pullman. He is the author of (A Friendly Introduction to Differential Equations) and (A First Course in Linear Algebra) Books, and his research interests are numerical analysis, differential equations, linear algebra, and real analysis. He is an invited Technical Program Committee (TPC) member in several conferences in applied mathematics and engineering. He is a former editor for the American Mathematical Society (AMS) Blog, and he is also a certified peer reviewer and member of the math editorial board at Multimedia Educational Resource for Learning and Online Teaching (MERLOT) which is a program of the California State University System partnering with education institutions, professional societies, and industry. For more information about him, please visit h
Researchers should cite this work as follows:
Mohammed K A Kaabar (2018), "Kaabar, Mohammed-2018-A First Course in Linear Algebra: Study Guide for the Undergraduate Linear Algebra Course," https://simiode.org/resources/4843.