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Linear Algebra A Geometric Approach

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ISBN-10: 071674337X

ISBN-13: 9780716743378

Edition: 2002

Authors: Ted Shifrin, Malcolm Adams

List price: $151.99
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This text, as well as presenting the standard computational aspects of linear algebra, will help students learn to think about mathematical concepts and to write rigorous mathematical arguments.
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Book details

List price: $151.99
Copyright year: 2002
Publisher: W. H. Freeman & Company
Publication date: 8/24/2001
Binding: Hardcover
Pages: 464
Size: 7.16" wide x 9.22" long x 1.11" tall
Weight: 1.980

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
Inverse Matrices
The Transpose
Vector Spaces
Subspaces of Rn
Linear Independence
Basics and Dimension
The Four Fundamental Subspaces
A Graphic Example
Abstract Vector Spaces
Projections and Linear Transformations
Inconsistent Systems and Projection
Orthogonal Bases
Linear Transformations
Change of Basis
Determinants
Signed Area in R2
Determinants
Cofactors and Cramer's Rule
Eigenvalues and Eigenvectors
The Characteristic Polynomial
Diagonalizability
Applications
Spectral Theorem
Further Applications
Complex Eigenvalues and Jordan Canonical Form
Computer Graphics and Geometry
Matrix Exponentials and Differential Equations