This is a combined version of Anton and Rorres's Applications of Linear Algebra and Anton's Elementary Linear Algebra into one practical, flexible text. The book incorporates 20 applications drawn from business, economics, engineering, physics, computer science, sociology and numerous other disciplines. It also contains an expanded variety of exercise sets, both computational and conceptual, beginning with drill problems and progressing to more theoretical problems. The chapter on numerical methods has been completely rewritten to include a new section on LU- decomposition, and a new section comparing various methods for solving linear systems in terms of the number of operations they require has been added.
Auflage
International 2 Revised ed
Sprache
Verlagsort
Verlagsgruppe
Zielgruppe
Für höhere Schule und Studium
Illustrationen
Maße
Höhe: 230 mm
Breite: 150 mm
Gewicht
ISBN-13
978-0-471-63692-2 (9780471636922)
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Schweitzer Klassifikation
Partial table of contents:; Systems of Linear Equations and Matrices; Introduction to Systems of Linear Equations; Gaussian Elimination; Homogeneous Systems of Linear Equations; Matrices and Matrix Operations; Rules of Matrix Arithmetic; Elementary Matrices and a Method of Finding A; Further Results on Systems and Equations and Invertibility; Determinants; The Determinant Function; Evaluating Determinants by Row Reduction; Properties of the Determinant Function; Cofactor Expansion: Cramer's Rule; Vectors in 2-Space and 3-Space; Introduction to Vectors (Geometric); Norm of a Vector; Vector Arithmetic; Dot Product; Projections; Cross Product; Lines and Planes in 3-Space; Vector Spaces; Euclidean n-Space; General Vector Spaces; Subspaces; Linear Independence; Basis and Dimension.
