William Brown

Matrices and Vector SPates (eBook, PDF)

• Format: PDF

Produktbeschreibung

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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Produktdetails

• Verlag: Taylor & Francis eBooks
• Seitenzahl: 328
• Erscheinungstermin: 1. November 2024
• Englisch
• ISBN-13: 9781040285534
• Artikelnr.: 72291981

Autorenporträt

William C. Brown, Michigan State University

Inhaltsangabe

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