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Matrices and Linear Transformation
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eBay item number:364860593730
Item specifics
- Condition
- ISBN
- 9780486663289
- Publication Name
- Matrices and Linear Transformations
- Item Length
- 8.5in
- Publisher
- Dover Publications, Incorporated
- Publication Year
- 1990
- Series
- Dover Books on Mathematics Ser.
- Type
- Textbook
- Format
- Trade Paperback
- Language
- English
- Features
- Revised
- Item Width
- 5.5in
- Item Weight
- 13.1 Oz
- Number of Pages
- 336 Pages
About this product
Product Information
Undergraduate-level introduction to linear algebra and matrix theory. Explores matrices and linear systems, vector spaces, determinants, spectral decomposition, Jordan canonical form, much more. Over 375 problems. Selected answers. 1972 edition.
Product Identifiers
Publisher
Dover Publications, Incorporated
ISBN-10
0486663280
ISBN-13
9780486663289
eBay Product ID (ePID)
554020
Product Key Features
Publication Name
Matrices and Linear Transformations
Format
Trade Paperback
Language
English
Features
Revised
Publication Year
1990
Series
Dover Books on Mathematics Ser.
Type
Textbook
Number of Pages
336 Pages
Dimensions
Item Length
8.5in
Item Width
5.5in
Item Weight
13.1 Oz
Additional Product Features
Lc Classification Number
Qa188.C85 1990
Edition Description
Revised Edition
Edition Number
2
Table of Content
Chapter I Matrices and Linear Systems 1.1 Introduction 1.2 Fields and number systems 1.3 Matrices 1.4 Matrix addition and scalar multiplication 1.5 Transposition 1.6 Partitioned matrices 1.7 Special kinds of matrices 1.8 Row equivalence 1.9 Elementary matrices and matrix Inverses 1.10 Column equivalence 1.11 Equivalence Chapter 2 Vector Spaces 2.1 Introduction 2.2 Subspaces 2.3 Linear independence and bases 2.4 The rank of a matrix 2.5 Coordinates and isomorphisms 2.6 Uniqueness theorem for row equivalence. Chapter 3 Determinants 3.1 Definition of the determinant 3.2 The Laplace expansion 3.3 Adjoints and inverses 3.4 Determinants and rank Chapter 4 Linear Transformations 4.1 Definition and examples 4.2 Matrix representation 4.3 Products and inverses 4.4 Change of basis and similarity 4.5 Characteristic vectors and characteristic values 4.6 Orthogonality and length 4.7 Gram-Schmidt process 4.8 Schur's theorem and normal matrices Chapter 5 Similarity: Part I 5.1 The Cayley-Hamilton theorem 5.2 Direct sums and invariant subspaces 5.3 Nilpotent linear operators 5.4 The Jordan canonical form 5.5 Jordan form-continued 5.6 Commutativity (the equation AX = XB) Chapter 6 Polynomials and Polynomial Matrices 6.1 Introduction and review 6.2 Divisibility and irreducibility 6.3 Lagrange interpolation 6.4 Matrices with polynomial elements 6.5 Equivalence over F[x] . 6.6 Equivalence and similarity Chapter 7 Similarity: Part II 7.1 Nonderogatory matrices 7.2 Elementary divisors 7.3 The classical canonical form 7.4 Spectral decomposition 7.5 Polar decomposition Chapter 8 Matrix Analysis 8.1 Sequences and series 8.2 Primary functions 8.3 Matrices of functions 8.4 Systems of linear differential equations Chapter 9 Numerical Methods 9.1 Introduction 9.2 Exact methods for solving AX = K 9.3 Iterative methods for solving AX = K 9.4 Characteristic values and vectors Answers to Selected Exercises Appendix Glossary of Mathematical Symbols Index
Copyright Date
1990
Topic
Matrices, Transformations
Lccn
89-025677
Dewey Decimal
512.9/43
Intended Audience
College Audience
Dewey Edition
20
Illustrated
Yes
Genre
Mathematics
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