# Best Linear Algebra Books and It's Real Life Applications

Linear algebra is the foundation of science and engineering. Knowledge of linear algebra is a prerequisite for studying statistics, machine learning, computer graphics, signal processing, chemistry, economics, quantum mechanics and other applications. Indeed, linear algebra offers a powerful toolbox for modeling the real world. If you want to learn about this most effective force of modern science, below books will help you best to develop your basic as well as enrich your knowledge of the linear system.

## 1. Linear Algebra

Author: Kunze Hoffman
Published at: 01/01/2015
ISBN: 9332550077

This outstanding new book helps to enrich you basically on linear algebra. Every topic contains in this book has clear exposition with instructive examples, clear proofs for every major result. The best books for using as a textbook in any linear algebra course. It's very easy to read and organized well.

What you'll learn-

• Linear equations
• Vector spaces
• Linear transformations
• Polynomials
• Determinants
• Elementary canonical forms
• Rational and Jordan forms
• Inner product spaces
• Operators on inner product spaces
• Bilinear forms

## 2. Introduction to Linear Algebra, Fifth Edition

Author: Gilbert Strang
Published at: 10/06/2016
ISBN: 0980232775

This is the textbook for basic linear algebra course. It contains chapters about SVD, probability, and statistics. It supports the value of understanding linear algebra. The basic eight application such as differential equations, graph and networks, statistics, Fourier methods, linear programming, computer graphics, cryptography, principal component analysis and singular values are introduced in this book.

What you'll learn-

• Introduction to vectors
• solving linear equations
• Orthogonality
• Details on eigenvalues and eigenvectors
• Applications of Numerical linear algebra
• Matrix factorization
• Six great theorems

## 3. Linear Algebra Done Right (Undergraduate Texts in Mathematics)

Author: Sheldon Axler
Published at: 06/11/2014
ISBN: 3319110799

This book helps you to understand the structure of linear operators on finite-dimensional vector spaces. Many interesting exercises in each chapter help students to understand the objects of linear algebra. No prerequisites are assumed other than the usual demand for suitable mathematical maturity.

What you'll learn-

• More than 300 new exercise on linear algebra
• Details on vector spaces
• Discussion on linear independence, span, basis, and dimension
• Eigenvalue and eigenvectors
• Spectral theorems and it consequence
• Generalized eigenvectors
• Structure of linear operators

## 4. Algebra Essentials Practice Workbook with Answers: Linear & Quadratic Equations, Cross Multiplying, and Systems of Equations: Improve Your Math Fluency Series

Author: Chris McMullen
Published at: 12/07/2010
ISBN: 1453661387

This book provides ample practice for developing fluency in very fundamentals algebra skills. It helps you to solve standard equations for one or more unknowns. Also, gives enough information for all levels student.

What you'll learn-

• Cross multiplication
• Solving systems of linear equations
• Useful examples
• Techniques for solving basic problems

It provides an introduction describes how parents and teachers can help students make the most of this linear math workbook

## 5. Linear Algebra: A Modern Introduction

Author: David Poole
Published at: 08/01/2014
ISBN: 1285463242

This book is enough to make your linear algebra course easy and clarify your basics of linear algebra. It is easy to read and understand. Topics are organized in a logical way. Every chapter begins with a problem that introduces informally the concepts that will be addressed in the sections. Theorems are stated clearly and proofs are rigorous and concise. Each chapter contains an "Exploration" section where real-life application from a wide variety of sciences is presented.

What you'll learn-

• Introduction of linear algebra
• Orthogonality
• Vector spaces
• Distance and approximation

## 6. Linear Algebra: Step by Step

Author: Kuldeep Singh
Published at: 31/12/2013
ISBN: 0199654441

A complete book for linear algebra contains a large number of examples and step by step explanation of each topic. It has miscellaneous exercise at the end of each chapter. Also, it contains questions from past exam papers from various university. At the beginning of sections, short historical biographies of the leading system in the field of linear algebra to provide context for the topics covered.

This book includes frequent questions and answers sections to test the readers understanding on the individual topics. Besides this, It provides interviews with the people who use linear algebra in their professional and academic life. All the section of this book will appeal to undergraduate students in mathematics, physical science, and engineering.

## 7. No bullshit guide to linear algebra

Author: Ivan Savov
Published at: 02/04/2017
ISBN: 0992001021

This amazing guide shows you all the basics of linear algebra. It contains enough information to use it in any university linear algebra course. Each topic has clear definitions, formulas, diagrams, explanations, and examples of real-world applications to enrich your knowledge of every essential thing discussed.

What you'll learn-

• Computational techniques of linear algebra
• Geometrical interpretations
• Theoretical foundation
• Explanation and real-world example
• Practice problems
• Computer algebra system

## 8. Linear Algebra

Author: Jim Hefferon
Published at: 01/01/2017
ISBN: 1944325034

This book is enough to make your linear algebra course easy and clarify your basics of linear algebra. The reader is not assumed to have previous knowledge of linear algebra. The goal is, in the context of developing the usual material of an undergraduate linear algebra course, to raise each student's level of mathematical maturity.

What you'll learn-

• Computational examples
• Numerous examples and problems
• Details on diagonal and triangular canonical form.
• Details on eigen algebra
• Vector spaces
• Distance and approximation

## 9. An Introduction to Linear Algebra (Dover Books on Mathematics)

Author: L. Mirsky
Published at: 30/11/2011
ISBN: 0486664341

This amazing book provides an elementary and easily readable theory of linear algebra. It contains determinants, vector spaces, matrices and all the basic theorems at a glance. The reader is not assumed to have previous knowledge of linear algebra.

What you'll learn-

• Introduction of the characteristic equation
• Unitary matrices, linear group
• Functions of matrices
• Application of geometry such as rotation, reduction of quadrics to principal axes
• Numerous examples and problems
• Details on diagonal and triangular canonical form.

## 10. Introduction to Linear Algebra, Fourth Edition

Author: Gilbert Strang
Published at: 10/02/2009
ISBN: 0980232716

The textbook is for basic linear algebra course. It contains chapters about SVD, probability, and statistics. It supports the value of understanding linear algebra. The basic eight application such as differential equations, graph and networks, statistics, Fourier methods, linear programming, computer graphics, cryptography, principal component analysis and singular values are introduced in this book.

What you'll learn-

• Introduction to vectors
• solving linear equations
• Orthogonality
• Details on eigenvalues and eigenvectors