This is a sophomore level webbook on linear algebra and n-dimensional geometry with the aim of developing in college entering undergraduates skills in algorithms, computational methods, and mathematical modeling. It is written in a simple style with lots of examples so that students can read most of it on their own. Please see Chapter 0 for the table of contents of the whole book, preface explaining the philosophy of the book and what sets this book apart from other books on linear algebra, and glossary.
Users are encouraged to read most of the book on the computer screen, and print only those portions that they need to look up several times on paper.
Contributions are requested from every user to cover costs, as explained in the preface in Chapter 0.
Many more exercises will be added in each chapter in due course, and weblinks will be installed in the file of each chapter for the user's convenience.
Chapter 0 | Contents, Preface, Glossary | soph1-0.pdf |
Chapter 1 | Systems of Simultaneous Linear Equations | soph1-1.pdf |
Chapter 2 | Matrices, Matrix Arithmetic, Determinants | soph1-2.pdf |
Chapter 3 | n-Dimensional Geometry | soph1-3.pdf |
Chapter 4 | Numerical Linear Algebra | soph1-4.pdf |
Chapter 5 | Quadratic Forms, Positive, Negative (Semi) Definiteness | soph1-5.pdf |
Chapter 6 | Eigen Values, Eigen Vectors, and Matrix Diagonalization | soph1-6.pdf |
Chapter 7 | Software Systems for Linear Algebra Problems | soph1-7.pdf |
Solutions manual for all the exercises | LANGsols3.pdf |