Introduction to Linear Algebra, Fourth Edition

Gilbert Strang's textbooks have changed the entire approach to learning linear algebra -- away from abstract vector spaces to specific examples of the four fundamental subspaces: the column space and nullspace of A and A'. Introduction to Linear Algebra, Fourth Edition includes challenge problems to complement the review problems that have been highly praised in previous editions. The basic course is followed by seven applications: differential equations, engineering, graph theory, statistics, fourier methods and the FFT, linear programming, and computer graphics. Thousands of teachers in colleges and universities and now high schools are using this book, which truly explains this crucial subject. Chapter 1: Introduction to Vectors; Chapter 2: Solving Linear Equations; Chapter 3: Vector Spaces and Subspaces; Chapter 4: Orthogonality; Chapter 5: Determinants; Chapter 6: Eigenvalues and Eigenvectors; Chapter 7: Linear Transformations; Chapter 8: Applications; Chapter 9: Numerical Linear Algebra; Chapter 10: Complex Vectors and Matrices; Solutions to Selected Exercises; Final Exam. Matrix Factorizations. Conceptual Questions for Review. Glossary: A Dictionary for Linear Algebra Index Teaching Codes Linear Algebra in a Nutshell. Gilbert Strang's textbooks have changed the entire approach to learning linear algebra -- away from abstract vector spaces to specific examples of the four fundamental subspaces: the column space and nullspace of A and A'. __Introduction to Linear Algebra, Fourth Edition__ includes challenge problems to complement the review problems that have been highly praised in previous editions. The basic course is followed by seven applications: differential equations, engineering, graph theory, statistics, fourier methods and the FFT, linear programming, and computer graphics. Thousands of teachers in colleges and universities and now high schools are using this book, which truly explains this crucial subject. Chapter 1: Introduction to Vectors; Chapter 2: Solving Linear Equations; Chapter 3: Vector Spaces and Subspaces; Chapter 4: Orthogonality; Chapter 5: Determinants; Chapter 6: Eigenvalues and Eigenvectors; Chapter 7: Linear Transformations; Chapter 8: Applications; Chapter 9: Numerical Linear Algebra; Chapter 10: Complex Vectors and Matrices; Solutions to Selected Exercises; Final Exam. Matrix Factorizations. Conceptual Questions for Review. Glossary: A Dictionary for Linear Algebra Index Teaching Codes Linear Algebra in a Nutshell. Book Description: Gilbert Strang's Textbooks Have Changed The Entire Approach To Learning Linear Algebra -- Away From Abstract Vector Spaces To Specific Examples Of The Four Fundamental Subspaces: The Column Space And Nullspace Of A And A'. Introduction To Linear Algebra, Fourth Edition Includes Challenge Problems To Complement The Review Problems That Have Been Highly Praised In Previous Editions. The Basic Course Is Followed By Seven Applications: Differential Equations, Engineering, Graph Theory, Statistics, Fourier Methods And The Fft, Linear Programming, And Computer Graphics. Thousands Of Teachers In Colleges And Universities And Now High Schools Are Using This Book, Which Truly Explains This Crucial Subject. Introduction To Vectors -- Solving Linear Equations -- Vector Spaces And Subspaces -- Orthogonality -- Determinants -- Eigenvalues And Eigenvectors -- Linear Transformations -- Applications -- Numerical Linear Algebra -- Complex Vectors And Matrices. Gilbert Strang. Includes Index. This leading textbook for first courses in linear algebra comes from the hugely experienced MIT lecturer and author Gilbert Strang. The book's tried and tested approach is direct, offering practical explanations and examples, while showing the beauty and variety of the subject. Unlike most other linear algebra textbooks, the approach is not a repetitive drill. Instead it inspires an understanding of real mathematics. The book moves gradually and naturally from numbers to vectors to the four fundamental subspaces. This new edition includes challenge problems at the end of each section. Preview five complete sections at math.mit.edu/linearalgebra. Readers can also view freely available online videos of Gilbert Strang's 18.06 linear algebra course at MIT, via OpenCourseWare (ocw.mit.edu), that have been watched by over a million viewers. Also on the web ( readers will find years of MIT exam questions, MATLAB help files and problem sets to practise what they have learned. This Informally Written Text Provides Students With A Clear Introduction Into The Subject Of Linear Algebra. Topics Covered Include Matrix Multiplication, Row Reduction, Matrix Inverse, Orthogonality And Computation. The Self-teaching Book Is Loaded With Examples And Graphics And Provides A Wide Array Of Probing Problems, Accompanying Solutions, And A Glossary.