Linear Algebra A Geometric Approach

ISBN-10: 1429215216

ISBN-13: 9781429215213

Edition: 2nd 2011 (Revised)

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Book details

List price: $216.99
Edition: 2nd
Copyright year: 2011
Publisher: W. H. Freeman & Company
Publication date: 7/30/2010
Binding: Hardcover
Pages: 464
Size: 8.00" wide x 10.00" long x 1.00" tall
Weight: 2.904
Language: English

MALCOLM ADAMS, University of Georgia, USA. THEODORE SHIFRIN,nbsp;University of Georgia, USA.

Preface
Foreword to the Instructor
Foreword to the Student
Vectors and Matrices
Vectors
Dot Product
Hyperplanes in Rn
Systems of Linear Equations and Gaussian Elimination
The Theory of Linear Systems
Some Applications
Matrix Algebra
Matrix Operations
Linear Transformations: An Introduction
Inverse Matrices
Elementary Matrices: Rows get Equal Time
The Transpose
Vector Spaces
Subspaces of Rn
The Four Fundamental Subspaces
Linear Independence and Basis
Dimension and Its Consequences
A Graphic Example
Abstract Vector Spaces
Projections and Linear Transformations
Inconsistent Systems and Projection
Orthogonal Bases
The Matrix of a Linear Transformation and the Change-of-Basis Formula
Linear Transformations on Abstract Vector Spaces
Determinants
Properties of Determinants
Cofactors and Cramer's Rule
Signed Area in R2 and Signed Volume in R2
Eigenvalues and Eigenvectors
The Characteristic Polynomial
Diagonalizability
Applications
The Spectral Theorem
Further Topics
Complex Eigenvalues and Jordan Canonical Form
Computer Graphics and Geometry
Matrix Exponentials and Differential Equations
For Further Reading
Answers to Selected Exercises
List of Blue Boxes
Index
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