The choice of basically choosing the book depends on the kind of course you are taking and on the approach, prose and obduracy of the text you prefer to study.

Linear Algebra is a topic connected to different fields inside and outside mathematics like functional analysis, differential equations, engineering, graph theory, statistics, linear programming, and computer graphics.

Linear Algebra is not what it seems at first thought. Behind all the matrices, polynomials, vectors and spaces, there is a fascinating subject which tools can help you to solve many practical problems.

Here are some books which are considered to be the BEST BOOKS FOR LINEAR ALGEBRA:

**Contents**hide

## Theory and Problems of Linear Algebra

By Seymour Lipschutz

The beginning of chapters stars with clear statements of pertinent definitions, principles and theorems together with other descriptive material.

This whole book is in a flow, easy to follow and to study topics in a organized way.

Numerous proofs of theorems are included in the solved problems. Supplementary problems helps to review of the material of each chapter.

Last editions contains new problems which are relevant to computer science and there examples and also to the fields in which linear algebra is now essential: computer science, engineering, mathematics, physics, and quantitative analysis.

## Linear Algebra: A Modern Introduction

By David Poole

The concepts of vectors and vector geometry, emphasizing on geometric intuition, meaning of calculations are properly explained. It prepares students to make the transition from the computational aspects of the course to the theoretical ones.

## Linear Algebra Done Right

By Sheldon Axler

This is taken as the best experience for the Introduction to Linear Algebra, as it helps to solve both algebric and geometric points of view with interesting facts and examples.

The central goal of algebra: which is understanding the structure of linear operators on vector spaces is thoroughly focused till the end of the book .

## Matrix Methods in Data Mining and Pattern Recognition, Second Edition

Lars Eldén

This second edition is revised numerical linear algebra techniques for solving problems in data mining and pattern recognition.

The author describes how modern matrix methods can be applied in real life scenarios which provides a set of tools to the students which can be modified later.

## Linear Algebra and its Applications

By David C. Lay

This book is considered best for self -study and analysis. Key points are highlighted and abstracts are provided for every topic with given examples. Author provides real world applications also on each topic. Topic-based exercises are there to make the understanding better.

Linear algebra concepts are introduced early to make reader familiar and taken back gradually through text so that these concepts are more accessible .

## Matrix Analysis and Applied Linear Algebra

By Carl. D. Meyer

This book is good for students in undergraduate as author’s research and experiments are clearly mentioned.

Topics are crystal clear and some contemporary topics are also explained which are not easily found in any other undergraduate course books.

This also carries a pack of historical notes with comments on numerical performance and the possible pitfalls of algorithms.

Each chapter can be read alone and in-between the topic explanations are also in coherence.

## Glossary of Mathematical Terms and Concepts

Ram Bilas Misra

This served as a refrence book where the topics are arranged in alphabetical order.

First volume ~Algebra (Classical) and covering up to Geometry (3-dimensional Coordinate)

Second Volume~ Differential Geometry and Jacobians

Present Volume~ Laplace Transform up and Special Functions.

## Applied Linear Algebra and Matrix Analysis

By Thomas S. Shores

This is considered as an fully-fledged tool book for Linear algebra as it contains it’s applications , theory and computation. Computer exercises and projects focusing on numerical computation and applied mathematics, plays a central role.

This also teaches how concepts of matrix and linear algebra makes hard problems easy to solve.

## Elementary Linear Algebra with Applications

By Stanley I. Grossman

This can be used to make someone acquainted with the subject as intended for the first course in linear algebra.

Less theory with short steps are than expanded into more examples and explanations.

The author also provides the knowledge of how linear algebra can be applied into many other fields.

## 3000 Solved Problems in Linear Algebra

By Seymour Lipschutz

This book contains 3000 Solved Problems which can help students to understand

concepts of linear algebra.

Simple problems ranging from there proofs to topic-based exercises are also added by the author.

This can help an individual to become the master of any particular topic.

## Introduction to Linear Algebra

By Gilbert Strang

This book has already been appreciated

as it includes differential equations, graph theories , statistics, Fourier methods and the Fast Fourier Transform, linear programming and computer graphics.

The author of the book Gilbert Strang is a Professor of Mathematics at Massachusetts Institute of Technology , his teaching videos can be seen on YouTube.

Students are encouraged to deal with real mathematical thinking.

## Galois Theory and Advanced Linear Algebra

Rajnikant Sinha

Key concepts like Cayley–Hamilton theorem, Galois groups, Sylvester’s law of inertia, Eisenstein criterion, and solvability by radicals are explained.

Advanced linear algebra with Galois theory including canonical forms are introduced which are divided into four chapters.

But yes, the book is written in a way where readers are expected to have a basic knowledge of groups, rings, fields, and vector spaces, and familiarity with the elementary properties of positive integers, inner product space of finite dimension and linear transformations.

## Lectures on Abstract Algebra

Dr Michael K. Butler

This book belongs to the group of students who are persuing any undergraduate course having mathematics as a subject. All aspects that can be expected to encounter in undergraduate like ring theory, group theory and the beginnings of Galois theory are thoroughly explained.

It is already taken in mind that the reader have only the rogh knowledge of basics like complex numbers, matrices, and solving systems of linear equations after that it will take you eventually by expanding the broader perspective of the concepts including groups and structure-preserving mappings between objects such as homomorphisms of groups and linear transformations of vector spaces and also vector spaces and rings too.

The CONTENTS of books are mentioned here:

1 The Group Axioms and Examples

2 Subgroups and Group Homomorphisms 3 Vector Spaces

4 Subspaces and Linear Transformations 5 The Basis for a Vector Space

6 Eigenvalues and Eigenvectors

7 Inner Product Spaces

8 Cosets and Quotient Groups

9 Group Actions

10 Simple Groups

11 Soluble Groups

12 Fields and their Extensions

13 The Galois Group

14 The Ring Axioms and Examples

15 Subrings, Ideals and Ring Homomorphisms

16 Quotient Rings

17 Integral Domains and Fields

18 Finite Fields

19 Factorisation in an Integral Domain 20 Vector Spaces with Products

21 The Exterior Algebra of a Vector Space

22 Lie Algebras

23 Matrix Groups and their Tangent Spaces

24 Normed Real Algebras

25 Tensor Products and Clifford Algebras.

## Linear Algebra and its applications

By Gilbert Strang

Book starts with the brief knowledge of the nature of linear algebra.

The beauty of this book is that, it is written in very casual and informal way just to enhance it’s understanding more.

The very renowned professor Gilbert Strang , who is also the author of this book tried to present linear algebra as an fascinating subject. He focuses on concepts, rather than directly jumping on the conclusions.

There are many good books in markets and shops out there. These are few which were suggested and I shortlisted them.

I hope you found this article helpful.