Elementary Linear Algebra Applications Version 11th Edition by Howard Anton and Chris Rorres

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Elementary Linear Algebra Applications Version 11th Edition

Download Free PDF | Elementary Linear Algebra Applications Version 11th Edition by Howard Anton and Chris Rorres.

Contents of Elementary Linear Algebra

  • CHAPTER 1. Systems of Linear Equations and Matrices
  • Introduction to Systems of Linear Equations
  • Gaussian Elimination
  • Matrices and Matrix Operations
  • Inverses Algebraic Properties of Matrices
  • Elementary Matrices and a Method for Finding A
  • More on Linear Systems and Invertible Matrices
  • Diagonal Triangular and Symmetric Matrices
  • Matrix Transformations
  • Applications of Linear Systems
  • Network Analysis Traffic Flow
  • Electrical Circuits
  • Balancing Chemical Equations
  • Polynomial Interpolation
  • Application Leontief Input Output Models
  • CHAPTER 2. Determinants
  • Determinants by Cofactor Expansion
  • Evaluating Determinants by Row Reduction
  • Properties of Determinants Cramer s Rule
  • CHAPTER 3. Euclidean Vector Spaces
  • Vectors in Space Space and n Space
  • Norm Dot Product and Distance in Rn
  • Orthogonality
  • The Geometry of Linear Systems
  • Cross Product
  • CHAPTER 4. General Vector Spaces
  • Real Vector Spaces
  • Subspaces
  • Linear Independence
  • Coordinates and Basis
  • Dimension
  • Change of Basis
  • Row Space Column Space and Null Space
  • Rank Nullity and the Fundamental Matrix Spaces
  • Basic Matrix Transformations in R and R
  • Properties of Matrix Transformations
  • Application Geometry of Matrix Operators on R
  • CHAPTER 5. Eigenvalues and Eigenvectors
  • Eigenvalues and Eigenvectors
  • Diagonalization
  • Complex Vector Spaces
  • Application Differential Equations
  • Application Dynamical Systems and Markov Chains
  • CHAPT ER 6. Inner Product Spaces
  • Inner Products
  • Angle and Orthogonality in Inner Product Spaces
  • Gram Schmidt Process QR Decomposition
  • Best Approximation Least Squares
  • Application Mathematical Modeling Using Least Squares
  • Application Function Approximation Fourier Series
  • CHAPTER 7. Diagonalization and Quadratic Forms
  • Orthogonal Matrices
  • Orthogonal Diagonalization
  • Quadratic Forms
  • Optimization Using Quadratic Forms
  • Hermitian Unitary and Normal Matrices
  • CHAPTER 8. General Linear Transformations
  • General Linear Transformations
  • Compositions and Inverse Transformations
  • Isomorphism
  • Matrices for General Linear Transformations
  • Similarity
  • CHAPTER 9. Numerical Methods
  • LU Decompositions
  • The Power Method
  • Comparison of Procedures for Solving Linear Systems
  • Singular Value Decomposition
  • Application Data Compression Using Singular Value Decomposition
  • CHAPTER 10. Applications of Linear Algebra
  • Constructing Curves and Surfaces Through Specified Points
  • The Earliest Applications of Linear Algebra
  • Cubic Spline Interpolation
  • Markov Chains
  • Graph Theory
  • Games of Strategy
  • Leontief Economic Models
  • Forest Management
  • Computer Graphics
  • Equilibrium Temperature Distributions
  • Computed Tomography
  • Fractals
  • Chaos
  • Cryptography
  • Genetics
  • Age Specific Population Growth
  • Harvesting of Animal Populations
  • A Least Squares Model for Human Hearing
  • Warps and Morphs
  • Internet Search Engines

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