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| Elementary Linear Algebra With Applications 10th Edition | |
| 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-1 | |
| More on Linear Systems and Invertible Matrices | |
| Diagonal, Triangular, and Symmetric Matrices | |
| Applications of Linear Systems (Traffic flow Electrical Networks Balancing Chemical Equations, Polynomial Interpolation | |
| Leontief Input-Output Models Chapter Summary | |
| Determinants | |
| Determinants by Cofactor Expansion | |
| Evaluating Determinants by Row Reduction | |
| Properties of Determinants Adjoint Crame's Rule Chapter Summary | |
| Euclidean Vector Spaces | |
| Vectors in 2-space, 3-space, and n-space | |
| Norm, Dot Product, and Distance in Rn | |
| Orthogonality | |
| The Geometry of Linear Systems | |
| Cross Product Chapter Summary | |
| 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 | |
| Linear Transformations from Rn to Rm | |
| Properties of Matrix Transformations from Rn to Rm | |
| Geometry of Matrix Operators | |
| Dynamical Systems and Markov Chains Chapter Summary | |
| Eignvalues And Eigenvectors | |
| Eigenvalues and Eigenvectors | |
| Diagonalization | |
| Complex Vector Spaces | |
| Application to Differential Equations Chapter Summary | |
| Inner Product Spaces | |
| Inner Products | |
| Angle and Orthogonality in Inner Product Spaces | |
| Orthonormal Bases Gram-Schmidt Process QR - Decomposition | |
| Best Approximation Least Squares | |
| Least Squares Fitting to Data | |
| Fourier Series Chapter Summary | |
| Diagonalization And Quadratic Forms | |
| Orthogonal Matrices | |
| Orthogonal Diagonalization | |
| Quadratic Forms | |
| Application of Quadratic Forms to Optimization | |
| Hermitian, Unitary, and Normal Matrices Chapter Summary | |
| Linear Transformations | |
| General Linear Transformations | |
| Isomorphism | |
| Composition and Inverse Transformations | |
| Matrices of General Linear Transformations | |
| Similarity Chapter Summary | |
| Numerical Methods | |
| Matrix Factorization and LU-Decompositions | |
| The Power Method | |
| Application to Internet Search Engines | |
| Comparison of Procedures for Solving Linear Systems | |
| Singular-Value Decomposition | |
| Application of Singular Value Decomposition to Data Compression Chapter Summary | |
| Applications Of Linear Algebra | |
| Constructing Curves and Surfaces through Specified Points | |
| Geometric Linear Programming | |
| The Earliest Applications of Linear Algebra | |
| Cubic Spline Interpolation | |
| Graph Theory | |
| Games of Strategy | |
| Forest Management | |
| 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 | |
| How to Read Theorems | |
| Complex Numbers | |
| Table of Contents provided by Publisher. All Rights Reserved. |
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