Linear Algebra A Geometric Approach

Name: Linear Algebra A Geometric Approach
Availability: InStock
ISBN: 9781429215213

ISBN-10: 1429215216

ISBN-13: 9781429215213

Edition: 2nd 2011 (Revised)

Authors: Ted Shifrin, Malcolm Adams

List price: $319.99

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Book details

List price: $319.99
Edition: 2nd
Copyright year: 2011
Publisher: W. H. Freeman & Company
Publication date: 7/30/2010
Binding: Hardcover
Pages: 396
Size: 8.01" wide x 10.32" long x 0.82" tall
Weight: 2.332
Language: English



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