Linear Algebra

ISBN-10: 0201526751

ISBN-13: 9780201526752

Edition: 3rd 1995 (Revised)

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Book details

List price: $117.80
Edition: 3rd
Copyright year: 1995
Publisher: Addison Wesley
Publication date: 12/31/1994
Binding: Paperback
Pages: 596
Size: 7.75" wide x 9.50" long x 0.75" tall
Weight: 2.684
Language: English

Vectors, Matrices, and Linear Systems
Vectors in Euclidean Spaces
The Norm and the Dot Product
Matrices and Their Algebra
Solving Systems of Linear Equations
Inverses of Square Matrices
Homogeneous Systems, Subspaces, and Bases
Application to Population Distribution (Optional)
Application to Binary Linear Codes (Optional)
Dimension, Rank, and Linear Transformations
Independence and Dimension
The Rank of a Matrix
Linear Transformations of Euclidean Spaces
Linear Transformations of the Plane (Optional)
Lines, Planes, and Other Flats (Optional)
Vector Spaces
Vector Spaces
Basic Concepts of Vector Spaces
Coordinatization of Vectors
Linear Transformations
Inner-Product Spaces (Optional)
Determinants
Areas, Volumes, and Cross Products
The Determinant of a Square Matrix
Computation of Determinants and Cramer's Rule
Linear Transformations and Determinants (Optional)
Eigenvalues and Eigenvectors
Eigenvalues and Eigenvectors
Diagonalization
Two Applications
Orthogonality
Projections
The Gram-Schmidt Process
Orthogonal Matrices
The Projection Matrix
The Method of Least Squares
Change of Basis
Coordinatization and Change of Basis
Matrix Representations and Similarity
Eigenvalues: Further Applications and Computations
Diagonalization of Quadratic Forms
Applications to Geometry
Applications to Extrema
Computing Eigenvalues and Eigenvectors
Complex Scalars
Algebra of Complex Numbers
Matrices and Vector Spaces with Complex Scalars
Eigenvalues and Diagonalization
Jordan Canonical Form
Solving Large Linear Systems
Considerations of Time
The LU-Factorization
Pivoting, Scaling, and Ill-Conditioned Matrices
Appendices
Mathematical Induction
Two Deferred Proofs
LINTEK Routines
MATLAB Procedures and Commands Used in the Exercises
Appendices
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