Elementary Linear Algebra

ISBN-10: 0618335676

ISBN-13: 9780618335671

Edition: 5th 2004

Authors: Ron Larson, Bruce H. Edwards, David C. Falvo

List price: $278.95
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Book details

List price: $278.95
Edition: 5th
Copyright year: 2004
Publisher: CENGAGE Learning
Publication date: 6/4/2003
Binding: Hardcover
Pages: 560
Size: 8.13" wide x 9.13" long x 0.94" tall
Weight: 2.882

Note: Each chapter concludes with a Chapter Summary, Review Exercises, and Projects. What Is Linear Algebra?
Systems of Linear Equations Biographical Sketch of Carl Friedrich Gauss
Introduction to Systems of Linear Equations
Gaussian Elimination and Gauss-Jordan Elimination
Applications of Systems of Linear Equations
Matrices Biographical Sketch of Arthur Cayley
Operations with Matrices
Properties of Matrix Operations
The Inverse of a Matrix
Elementary Matrices
Applications of Matrix Operations
Determinants Biographical Sketch of Augustin-Louis Cauchy
The Determinant of a Matrix
Evaluation of a Determinant Using Elementary Operations
Properties of Determinants
Introduction to Eigenvalues
Applications of Determinants Cumulative Test for Chapters 13
Vector Spaces Biographical Sketch of William Rowan Hamilton
Vectors in Rn
Vector Spaces
Subspaces of Vector Spaces
Spanning Sets and Linear Independence
Basis and Dimension
Rank of a Matrix and Systems of Linear Equations
Coordinates and Change of Basis
Applications of Vector Spaces
Inner Product Spaces Biographical Sketch of Jean-Baptiste Joseph Fourier
Length and Dot Product in Rn
Inner Product Spaces
Orthonormal Bases: Gram-Schmidt Process
Mathematical Models and Least Squares Analysis
Applications of Inner Product Spaces Cumulative Test for Chapters 4 and 5
Linear Transformations Biographical Sketch of Emmy Noether
Introduction to Linear Transformations
The Kernel and Range of a Linear Transformation
Matrices for Linear Transformations
Transition Matrices and Similarity
Applications of Linear Transformations
Eigenvalues and Eigenvectors Biographical Sketch of James Joseph Sylvester
Eigenvalues and Eigenvectors
Diagonalization
Symmetric Matrices and Orthogonal Diagonalization
Applications of Eigenvalues and Eigenvectors Cumulative Test for Chapters 6 and 7
Complex Vector Spaces* Biographical Sketch of Charles Hermite
Complex Numbers
Conjugates and Division of Complex Numbers
Polar Form and DeMoivre's Theorem
Complex Vector Spaces and Inner Products
Unitary and Hermitian Matrices
Linear Programming* Biographical Sketch of John von Neumann
Systems of Linear Inequalities
Linear Programming Involving Two Variables
The Simplex Method: Maximization
The Simplex Method: Minimization
The Simplex Method: Mixed Constraints
Numerical Methods
Biographical Sketch of Carl Gustav Jacob Jacobi
Gaussian Elimination with Partial Pivoting
Interative Methods for Solving Linear Systems
Power Method for Approximating Eigenvalues
Applications of Numerical Methods
Appendices
Mathematical Induction and Other Forms of Proofs
Computer Algebra Systems and Graphing Calculators
Answer Key Index * Chapters 8, 9, and 10 are available on the Learning Tools Student CD-ROM and the textbook web site
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