An edition of Linear Algebra with Applications (1984)

Linear algebra with applications

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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

  • ★★★★★ 5.00 ·
  • 4 Ratings
  • 25 Want to read
  • 2 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
Libraries near you: WorldCat
Cover of: Linear Algebra with Applications
Linear Algebra with Applications
1991, Wm. C. Brown Publishers
in English - 2nd ed.
Libraries near you: WorldCat
Cover of: Linear algebra with applications
Linear algebra with applications
1984, Allyn and Bacon
in English
Libraries near you: WorldCat

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Book Details

Published in

Boston

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.

Classifications

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

The Physical Object

Pagination
p. cm

ID Numbers

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

Excerpts

Mathematics is, of course, a discipline in its own right.
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October 30, 2023 Edited by Drini Add TOC from Tocky
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