Elementary Linear Algebra, Enhanced Edition (with Enhanced WebAssign 1-Semester Printed Access Card)

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  • Edition: 6th
  • Format: Hardcover
  • Copyright: 3/30/2009
  • Publisher: Brooks Cole
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The cornerstone of ELEMENTARY LINEAR ALGEBRA is the authors’ clear, careful, and concise presentation of material—written so that users can fully understand how mathematics works. This program balances theory with examples, applications, and geometric intuition for a complete, step-by-step learning system. The Sixth Edition incorporates up-to-date coverage of Computer Algebra Systems (Maple/MATLAB/Mathematica); additional support is provided in a corresponding technology guide. Data and applications also reflect current statistics and examples to engage users and demonstrate the link between theory and practice. This Enhanced Edition includes instant access to WebAssign®, the most widely-used and reliable homework system. WebAssign® presents over 500 problems, as well as links to relevant book sections, that help users grasp the concepts needed to succeed in this course. As an added bonus, the Start Smart Guide has been bound into this book. This guide contains instructions to help users learn the basics of WebAssign quickly.

Table of Contents

Systems Of Linear Equations
Introduction to Systems of Linear Equations
Gaussian Elimination and Gauss-Jordan Elimination
Applications of Systems of Linear Equations
Operations with Matrices
Properties of Matrix Operations
The Inverse of a Matrix
Elementary Matrices
Applications of Matrix Operations
The Determinant of a Matrix
Evaluation of a Determinant Using Elementary Operations
Properties of Determinants
Introduction to Eigenvalues
Applications of Determinants
Vector Spaces
Vectors in R"
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
Length and Dot Product in R"
Inner Product Spaces
Orthonormal Bases: Gram-Schmidt Process
Mathematical Models and Least Squares Analysis
Applications of Inner Product Spaces
Linear Transformations
Introduction to Linear Transformations
The Kernel and Range of a Matrices for Linear Transformations
Transition Matrices and Similarity
Applications of Linear Transformations
Eigenvalues and Eigenvectors
Eigenvalues and Eigenvectors
Symmetric Matrices and Orthogonal Diagonalization
Applications of Eigenvalues and Eigenvectors
Complex Vector Spaces (Online)
Complex Numbers
Conjugates and Division of Complex Numbers
Polar Form and DeMoivre's Theorem
Complex Vector Spaces and Inner Products
Unitary and Hermitian Matricies
Table of Contents provided by Publisher. All Rights Reserved.

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