Linear algebra with applications
By: by Gareth Williams.
Contributors: Williams, Gareth, 1939-
Publisher: Allyn and Bacon
Published: 1984
Place of publication: Boston
Language: eng
Subjects: Algebras, Linear.
Notes: Rev. ed. of, Computational linear algebra with models. 2nd ed. c1978.

"Portions of this book first appeared in Mathematics with applications in the management, natural, and social sciences"--T.p. verso.

Includes index.
Table of contents: title: Preface
pagenum: v; label: 1
title: Systems of Linear Equations
pagenum: 1; label: 1-1
title: Systems of Two Linear Equations in Two Variables
pagenum: 1; label: 1-2
title: Matrices and Systems of Linear Equations
pagenum: 7; label: 1-3
title: Systems of Linear Equations Having Unique Solutions
pagenum: 11; label: 1-4
title: Gauss-Jordan Elimination
pagenum: 18; label: 1-5*
title: Models Involving Systems of Linear Equations
pagenum: 31; label: 2
title: Matrices
pagenum: 41; label: 2-1
title: Addition and Scalar Multiplication of Matrices
pagenum: 41; label: 2-2
title: Multiplication of Matrices
pagenum: 47; label: 2-3
title: Properties of Matrices under Multiplication
pagenum: 56; label: 2-4
title: Special Classes of Matrices and an Application in Archaeology
pagenum: 67; label: 2-5
title: The Inverse of a Matrix
pagenum: 79; label: 2-6*
title: Leontief Input-Output Model in Economics
pagenum: 91; label: 2-7*
title: Stochastic Matrices: A Population Movement Model
pagenum: 98; label: 2-8
title: Communication Model and Group Relationships
pagenum: 108; label: 3
title: Determinants
pagenum: 121; label: 3-1
title: Introduction to Determinants
pagenum: 121; label: 3-2
title: Properties of Determinants
pagenum: 129; label: 3-3
title: The Evaluation of a Determinant
pagenum: 135; label: 3-4
title: Cramer's Rule
pagenum: 139; label: 4
title: The Vector Space $R^n$
pagenum: 147; label: 4-1
title: Introduction to Vectors
pagenum: 147; label: 4-2
title: Algebraic Properties of Vectors
pagenum: 158; label: 4-3
title: Subspaces of $R^n$
pagenum: 167; label: 4-4
title: Linear Combinations of Vectors
pagenum: 171; label: 4-5
title: Linear Dependence of Vectors
pagenum: 177; label: 4-6
title: Bases
pagenum: 180; label: 4-7
title: Rank
pagenum: 190; label: 4-8
title: Dot Products, Norms, Angles, and Distances
pagenum: 198; label: 4-9
title: Projections and the Gram-Schmidt Orthogonalization Process
pagenum: 210; label: 4-10
title: Vector Products
pagenum: 219; label: 4-11*
title: Equations of Planes and Lines in Three-Space
pagenum: 225; label: 5*
title: General Vector Spaces
pagenum: 233; label: 5-1
title: General Vector Spaces
pagenum: 233; label: 5-2
title: Inner Product Spaces
pagenum: 248; label: 5-3
title: The Mathematical Model of Special Relativity
pagenum: 258; label: 6
title: Mappings
pagenum: 265; label: 6-1
title: Mappings Defined by Square Matrices
pagenum: 265; label: 6-2
title: Linear Mappings
pagenum: 279; label: 6-3
title: Kernel and Range
pagenum: 293; label: 6-4
title: Mappings and Systems of Equations
pagenum: 304; label: 6-5*
title: Linear Algebra and Differential Equations
pagenum: 312; label: 6-6*
title: One-to-One Mappings, Onto Mappings, and Isomorphisms
pagenum: 322; label: 6-7*
title: Matrix Representations of Linear Mappings
pagenum: 333; label: 7
title: Eigenvalues and Eigenvectors
pagenum: 345; label: 7-1
title: Introduction to Eigenvalues and Eigenvectors
pagenum: 345; label: 7-2
title: Applications in Demography and in Weather Prediction
pagenum: 351; label: 7-3
title: Similarity Transformations Diagonalization of Symmetric Matrices
pagenum: 360; label: 7-4
title: Coordinate Transformations
pagenum: 369; label: 7-5*
title: Normal Modes of Oscillating Systems
pagenum: 390; label: 8*
title: Numerical Techniques
pagenum: 397; label: 8-1
title: Pivoting and Scaling Techniques
pagenum: 397; label: 8-2
title: Gaussian Elimination
pagenum: 402; label: 8-3
title: Iterative Methods for Solving Systems of Linear Equations
pagenum: 406; label: 8-4
title: Eigenvectors by Iteration; Applications in Geography
pagenum: 411; label: 9*
title: Linear Programming (Prerequisite Section 1-4)
pagenum: 421; label: 9-1
title: Linear Programming: A Geometrical Introduction
pagenum: 422; label: 9-2
title: The Simplex Method
pagenum: 436; label: 9-3
title: Geometrical Explanation of the Simplex Method
pagenum: 447; label: Appendixes
title: Computing*
pagenum: A1; label: A
title: Matrices (Section 1-2)
pagenum: A1; label: B
title: Multiplication of a Matrix by a Scalar (Section 2-1)
pagenum: A5; label: C
title: Addition of Matrices (Section 2-1)
pagenum: A8; label: D
title: Multiplication of Matrices (Section 2-2)
pagenum: A10; label: E
title: Programs for Systems Without Built-in Matrix Commands
pagenum: A12; label: F
title: Reduced Echelon Form of a Matrix (Sections 1-3, 1-4)
pagenum: A19; label: G
title: Inverse of a Matrix Using Gauss-Jordan Elimination (Section 2-5)
pagenum: A21; label: H
title: Evaluation of Determinants (Section 3-3)
pagenum: A23; label: I
title: Graphing an Ellipse on an Apple Microcomputer (Example 7, Section 7-4)
pagenum: A24; label: J
title: Eigenvalues and Eigenvectors (Section 8-3)
pagenum: A26; label: K
title: Simplex Method (Section 9-2)
pagenum: A28; title: Answers to Selected Exercises
pagenum: E1; title: Index
pagenum: I1