CONTENTS Linear Algebra, Geodesy, and GPS Gilbert Strang / Kai Borre Preface The Mathematics of GPS Part I Linear Algebra 1 Vectors and Matrices 2 Solving Linear Equations 3 Vector Spaces and Subspaces 4 Orthogonality 5 Determinants 6 Eigenvalues and Eigenvectors 7 Linear Transformations Part II Geodesy 8 Leveling Networks 9 Random Variables and Covariance Matrices 10 Nonlinear Problems 11 Linear Algebra for Weighted Least Squares 12 Constraints for Singular Normal Equations 13 Problems with Explicit Solutions Part III Global Positioning System (GPS) 14 Global Positioning System 15 Processing of GPS Data 16 Random Processes 17 Kalman Filters The Receiver Independent Exchange Format Glossary References Index of M-files Index