A First Course in Linear Algebra: Study Guide for the Undergraduate Linear Algebra Course

TL;DR

This study guide provides a comprehensive, accessible introduction to linear algebra concepts for undergraduates, including exercises and solutions, to support self-study and review.

Contribution

It offers a free, structured, and practical resource with exercises and solutions, tailored for students reviewing linear algebra concepts.

Findings

Includes exercises with solutions for practice

Covers fundamental linear algebra topics

Accessible online for free under Creative Commons

Abstract

In this book, 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.