Gilbert Strang’s textbooks have changed all of the strategy to learning linear algebra — away from abstract vector spaces to precise 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 enrich the review problems which have been highly praised in previous editions. The fundamental 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 the use of this book, which in point of fact explains this an important 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. Word list: A Dictionary for Linear Algebra Index Teaching Codes Linear Algebra in a Nutshell.