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Matrices and Vector SPates de William Brown

Matrices and Vector SPates: Chapman & Hall/CRC Pure and Applied Mathematics

Autor William Brown
en Limba Engleză Hardback – mar 1991
A textbook for a one-semester course in linear algebra for graduate or upper-level undergraduate students of mathematics and engineering. Employs a matrix perspective, and emphasizes training in definitions, theorems, and proofs. Annotation copyright Book News, Inc. Portland, Or.
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Din seria Chapman & Hall/CRC Pure and Applied Mathematics

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Specificații

ISBN-13: 9780824784195
ISBN-10: 0824784197
Pagini: 328
Dimensiuni: 156 x 234 x 22 mm
Greutate: 0.64 kg
Ediția:New.
Editura: CRC Press
Colecția CRC Press
Seria Chapman & Hall/CRC Pure and Applied Mathematics

Locul publicării:Boca Raton, United States

Public țintă

Academic and Postgraduate

Cuprins

I. MATRICES AND LINEAR SYSTEMS OF EQUATIONS 1. Matrices 2. Matrix Arithmetic 3. The Multiplication of Partitioned Matrices 4. Gaussian Elimination 5. Elementary Matrices and Inverses 6 LU Factorizations II. VECTOR SPACES 1. Definitions and Examples 2. Finite Dimensional Vector Spaces, Bases, and Dimension 3. The Rank of a Matrix 4. Linear Transformations 5. Matrix Representations of Linear Transformations III. DETERMINANTS 1. Permutations and the Definition of the Determinant 2. Basic Theorems on Determinants 3. The Laplace Expansion 4. Eigenvalues and the Spectrum of a Matrix IV. INNER PRODUCT SPACES 1. Real Inner Product Spaces 2. Complex Inner Product Spaces 3. Least Squares Problems 4. Normal Matrices5. Real Quadratic Forms

Notă biografică

William C. Brown, Michigan State University

Descriere

A textbook for a one-semester course in linear algebra for graduate or upper-level undergraduate students of mathematics and engineering. Employs a matrix perspective, and emphasizes training in definitions, theorems, and proofs. Annotation copyright Book News, Inc. Portland, Or.