An edition of Linear Algebra with Applications (1984)

Linear algebra with applications

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Cover of: Linear algebra with applications by Gareth Williams, Gareth Williams
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Last edited by Drini
October 30, 2023 | History
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An edition of Linear Algebra with Applications (1984)

Linear algebra with applications

by

  • ★★★★★ 5.0 (4 ratings)
  • 60 Want to read
  • 3 Currently reading
  • 3 Have read

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Publish Date
Publisher
Allyn and Bacon
Language
English

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Previews available in: English

Subjects

Linear Algebras, Textbooks, Algebras, linear, Linear algebra, Science/Mathematics, Mathematics, Algebra - General, Algebra - Linear, Computers & the internet, Computer science, Algebras, linear--textbooks, Qa184.2, Algebra

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Edition Availability
Cover of: Linear Algebra With Applications
Linear Algebra With Applications
August 1995, McGraw-Hill Companies
Paperback in English - 3rd Stdt edition
Cover of: Linear Algebra with Applications
Linear Algebra with Applications
1991, Wm. C. Brown Publishers
in English - 2nd ed.
Cover of: Linear algebra with applications
Linear algebra with applications
1984, Allyn and Bacon
in English

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Book Details

Table of Contents

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

Edition 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.

Published in
Boston

Classifications

Dewey Decimal Class
512/.5
Library of Congress
QA184, QA184 .W53 1984

The Physical Object

Pagination
p. cm

Edition Identifiers

Open Library
OL21183366M
Internet Archive
linearalgebrawit0000will
ISBN 10
0205080103
LCCN
83013523
LibraryThing
2033418
Goodreads
3730369

Work Identifiers

Work ID
OL258590W

Source records

Library of Congress MARC record
Internet Archive item record
Promise Item

Excerpts

Mathematics is, of course, a discipline in its own right.
added anonymously.

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October 30, 2023 Edited by Drini Add TOC from Tocky
October 30, 2023 Edited by Drini Merge works
January 14, 2023 Edited by ImportBot import existing book
December 14, 2022 Edited by CoverBot //covers.openlibrary.org/b/id/13076906-S.jpg
November 1, 2008 Created by ImportBot Imported from Talis record