Top
Note: Supplemental materials are not guaranteed with Rental or Used book purchases.
Purchase Benefits
Free Shipping On Orders Over $35!
Get Rewarded for Ordering Your Textbooks! Enroll Now
Customer Reviews Read Reviews
Write a Review
What is included with this book?
| Introduction to Vectors | |
| Vectors and linear combinations | |
| Lengths and dot products | |
| Matrices | |
| Solving Linear Equations | |
| Vectors and linear equations | |
| The idea of elimination | |
| Elimination using matrices | |
| Rules for matrix operations | |
| Inverse matrices | |
| Elimination = factorization: A = LU | |
| Transposes and permutations | |
| Vector Spaces and Subspaces | |
| Spaces of vectors | |
| The nullspace of A: solving Ax = 0 | |
| The rank and the row reduced form | |
| The complete solution to Ax = b | |
| Independence, basis and dimension | |
| Dimensions of the four subspaces | |
| Orthogonality | |
| Orthogonality of the four subspaces | |
| Projections | |
| Least squares approximations | |
| Orthogonal bases and Gram-Schmidt | |
| Determinants | |
| The properties of determinants | |
| Permutations and cofactors | |
| Cramer's rule, inverses, and Volumes | |
| Eigenvalues and Eigenvectors | |
| Introduction to eigenvalues | |
| Diagonalizing a matrix | |
| Applications to differential equations | |
| Symmetric matrices | |
| Positive definite matrices | |
| Similar matrices | |
| Singular value decomposition (SVD) | |
| Linear Transformations | |
| The idea of a linear transformation | |
| The matrix of a linear transformation | |
| Diagonalization and the pseudoinverse | |
| Applications | |
| Matrices in engineering | |
| Graphs and networks | |
| Markov matrices, population, and economics | |
| Linear programming | |
| Fourier series: linear algebra for functions | |
| Linear algebra for statistics and probability | |
| Computer graphics | |
| Numerical Linear Algebra | |
| Gaussian elimination in practice | |
| Norms and condition numbers | |
| Iterative methods for linear algebra | |
| Complex Vectors and Matrices | |
| Complex numbers | |
| Hermitian and unitary matrices | |
| The fast Fourier transform | |
| Solutions to selected exercises | |
| Matrix factorizations | |
| Conceptual questions for review | |
| Glossary: a dictionary for linear algebra | |
| Index | |
| Teaching codes | |
| Table of Contents provided by Publisher. All Rights Reserved. |
The New copy of this book will include any supplemental materials advertised. Please check the title of the book to determine if it should include any access cards, study guides, lab manuals, CDs, etc.
The Used, Rental and eBook copies of this book are not guaranteed to include any supplemental materials. Typically, only the book itself is included. This is true even if the title states it includes any access cards, study guides, lab manuals, CDs, etc.
Need Help? Copyright © 1999-2024