Best Books to Learn Linear Algebra

When you buy through links on our site, we may earn a commission. Learn More.

The subject of linear algebra involves the use of many elements and holds a surprising league of practical problems for a student to entice his learning skills. The subject of linear algebra includes different topics such as differential equations, graph theory, linear programming and computer graphics. 

Reading a book can help a student grasp the concepts of linear algebra with relative ease. So, we have listed some of the best books on linear algebra for your consideration below. These books can prove to be useful for a student for academic purpose and also lend a hand at the time of preparing for an exam. Let us get started.

7 Best Books to Learn Linear Algebra & Reviews

1. Linear Algebra: A Modern Introduction

Author: David Poole

Publisher: Cengage Learning

Pages: 720

This book brings a healthy introduction in light to linear algebra. The author has directed his efforts to present the text clearly and interestingly. Also, generous use of examples and practice exercises has been made to provide the reader with an opportunity to assess their understanding So, this book offers a classic opportunity to learn linear algebra from a scratch. Hence, the book serves as a foundational base to the reader before moving on to the more complex concepts of the subject. 

The reader can manifest the theoretical approach only because the author has also supported it with the help of visual aids. The author directs the attention of the readers towards the type of problems which they will need to solve. So, it is clear that from the start, the author introduces the concept of geometric intuition and vector geometry to the reader. Hence, he successfully bridges the gap between a theoretical outlook and the computational aspects of linear algebra. 

Demonstration of data is done in a clear and precise manner. Thus, the readers will find this book immensely useful for academic purposes. 

Summary: The book certainly happens to be a quality bargain for students and learners. It is satisfying to see its lucid structure and transparent format that will allow a quick understanding of the subject. 

2. Linear Algebra Done Right 

Author: Sheldon Axler

Publisher: Springer

Pages: 340

This is an excellent introduction to linear algebra because it incorporates a wholesome approach to the subject. This is because of its remarkable feature which enables a reader to intuitively grasp the topics with relative ease. The fluid presentation of the facts and their wholesome structure will keep the reader hooked till the end. Each chapter is replete with a wide array of examples and practice problems to help the student. 

This book is highly suitable for undergraduate level students because it covers that standard of the course. The author ensures that the text revolves around the central idea of progressing in linear algebra. As a result, the reader can make sense of the structure of linear operations, and vector spaces. To make things simpler for the readers, the author has attempted to simplify the concepts and motivate them with a seamless entry into the topic. 

With every new update, the book receives a supplement of revisions and additions of various problems. At the same time, every effort is made to include practical examples in the text as well. Attention is also given to the presentation of the text with the help of illustrations and color coding so that the reader can easily keep track of the progress of the text.

Summary: The reader will appreciate the friendly manner in which the author introduces the topic and moves on to made the addition of examples and illustrations. So, this book is highly pleasing to the reader visually. 

3. Linear Algebra and Its Applications

Author: David C. Lay and Steven R. Lay 

Publisher: Pearson

Pages: 576

This book is highly organized and explanatory and has been portrayed in a very didactical way. This makes it easy to use for self study. This is because the author has portrayed the text clearly and concisely and ensured that the key information is highlighted at important spots. Further, the addition of examples has widened the scope and utility of the book for an average reader. 

With every new section, the author has introduced a brief of the topic in discussion. Each section has also been carefully wrapped around the dedicated text which does not deter from the focus of the topic. Plus, the concrete setting of the text and the profound ease with which the author has divulged the concepts, make it easier for the student to gain a thorough understanding of linear algebra. But students need to understand these concepts in depth if they wish to gain a grasp over the subject. 

The structure of the book makes it easier to understand the topic of linear transformations and introduces the reader to its branches. Thus, this book proves to be a roadway to master the subject with relative ease and understand its concepts with ease. 

Summary: This book is an excellent choice for students who find it difficult to progress in linear algebra because of the friendly description of facts and concepts proves to be an easy way to achieve total understanding.

4. Matrix analysis and applied linear algebra

Author: Carl D. Meyer

Publisher: SIAM: Society for Industrial and Applied Mathematics

Pages: 730

If you are looking for something purely for computational purposes, then this book will prove to be useful for you. This book integrates various theoretical and practical aspects of linear algebra and combines the extensive knowledge of the author to offer a resourceful tool to the readers. The complex topics in the book become simpler to understand with plain terms for easier understanding. And interestingly, the author does not skip any modules while doing this to make the book complete. 

The patience of the author is apparent with how he has elucidated the topics. Each section of the book finds support in examples to help the reader’s grasp over the different topics. It is ultimately a brilliant selection for a student! 

Summary: This is a well organized book which certainly catches the attention of the reader. With its perfect and elastic correlation with different sections of the subject, the readers will find this book highly useful. 

5. Elementary Linear Algebra with Applications 

Author: Bernard Kolman and David Hill

Publisher: Pearson

Pages: 720

This book sticks to a basic and simple presentation of facts and ideas. It has been designed by the author in a manner that makes it possible for the reader to understand the subject, even if they are a beginner in this field. Without swinging towards either side of the scale, the book tips between a fine measure of theory and computational skills. As a result, the reader emerges capable of understanding the abstract concepts of linear algebra. 

Along with this, the author also offers easy to follow up exercises which strengthen the reader’s understanding of the subject. The book is inclusive of a diverse range of topics in this field which widens the scope of learning and presents an opportunity for the reader to master this subject. 

Summary: It is not hard to find this book useful and interesting. The readers will appreciate the plain presentation and language of this book, which are the key features that mostly everyone wants to find in a book. 

6. 3,000 Solved Problems in Linear Algebra

Author: Seymour Lipschutz

Publisher: McGraw-Hill Education

Pages: 750

This book is a professional guide to problem solving in linear algebra. If you are looking for a practical solution that helps you cut down your study time and also helps you ace your examinations, you are in luck with this book. The author claims that with the use of this book, you will be able to overcome the competition around you. Thus, this book is something that you must equip yourself with if you are looking for something that can help you clear your examinations with ease. 

This book helps you study at your pace and move from simpler problem to more complex one’s. This book is an excellent companion for you in a scenario where you are hard hit with a shortage of time. It guides you towards the right path to prepare for your exams and at the same time also motivates you to practice more problems on linear algebra to master the subject. 

Summary: This book will be highly appreciated by readers who want to find some useful resource to practice linear algebra and clean their hands over more complex problems related to the subject. 

7. Practical Linear Algebra for Machine Learning

Author: Amirsina Torfi

Publisher: Independently published 

Pages: 63

This short and concise book has been penned by the author to elucidate on linear algebra in the context of machine learning. With the growing influence of machine learning, it makes sense to explore the field further. The author expands her knowledge on the scope of machine learning and the role that linear algebra can come to play in it. It is in this context that she elaborates on the idea of learning machine language with the oversight of linear algebra. 

In the few pages of this book, the author has summed her outlook towards these fields and how she believes them to become prominent in the days to come. Explained in a few simple and some other technical words, this book is a passionate compilation of the authors perspective on machine learning and the use of linear algebra in it. 

This book seeks to answer several vital questions of the reader. And the short length of the book should not act as a deterrent to seeking the same. 

Summary: This is an interesting book on machine learning plus linear algebra and marks a space where the two can be interspersed together. Thus, the readers will certainly find this book interesting to read. 

In Conclusion

We complete our list of the best books on linear algebra with this. Each of these books has made it to this compilation after much thought and we believe that these books will prove to be useful for you to learn the subject of linear algebra.

If you have read another book on the subject and found it useful, we urge you to share it with us below. 

Leave a Comment