Computational and Algorithmic
Linear Algebra and n-Dimensional Geometry

Internet Edition




Katta G. Murty
Dept. of Industrial and Operations Engineering
The University of Michigan, Ann Arbor




Overview

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.


Table of Contents

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