title: Matrix Methods: Applied Linear Algebra
author:  Richard Bronson 
description: Fairleigh Dickinson University, NJ, USA<br /><br />Father Gabriel B. Costa, Ph.D.<br>Department of Mathematical Sciences<br>United States Military Academy<br>West Point, NY
zlib_text: Table of Contents
  Cover
  Table of Contents
  Applications and Historical Topics
  Title Page
  Copyright
  Dedication
  About the Authors
  Preface
  CHAPTER 1: Systems of Linear Equations and Matrices
  CHAPTER CONTENTS
  Introduction
  1.1 Introduction to Systems of Linear Equations
  1.2 Gaussian Elimination
  1.3 Matrices and Matrix Operations
  1.4 Inverses; Algebraic Properties of Matrices
  1.5 Elementary Matrices and a Method for Finding A−1
  1.6 More on Linear Systems and Invertible Matrices
  1.7 Diagonal, Triangular, and Symmetric Matrices
  1.8 Introduction to Linear Transformations
  1.9 Compositions of Matrix Transformations
  1.10 Applications of Linear Systems
  1.11 Leontief Input-Output Models
  Chapter 1 Supplementary Exercises
  CHAPTER 2: Determinants
  CHAPTER CONTENTS
  Introduction
  2.1 Determinants by Cofactor Expansion
  2.2 Evaluating Determinants by Row Reduction
  2.3 Properties of Determinants; Cramer’s Rule
  Chapter 2 Supplementary Exercises
  CHAPTER 3: Euclidean Vector Spaces
  CHAPTER CONTENTS
  Introduction
  3.