Linear Algebra: Algorithms, Applications, and Techniques, Fourth Edition offers a modern and algorithmic approach to computation while providing clear and straightforward theoretical background information. The book guides readers through the major applications, with chapters on properties of real numbers, proof techniques, matrices, vector spaces, linear transformations, eigen values, and Euclidean inner products. Appendices on Jordan canonical forms and Markov chains are included for further study. This useful textbook presents broad and balanced views of theory, with key material highlighted and summarized in each chapter. To further support student practice, the book also includes ample exercises with answers and hints.
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Table of Contents
1. Matrices
2. Vector Spaces
3. Linear Transformations
4. Eigenvalues, Eigenvectors, and Differential Equations
5. Euclidean Inner Product
Appendix
A. Determinants
B. Jordan Canonical Forms
C. Markov Chains
D. The Simplex Method, an Example
E. A Word on Numerical Techniques and Technology
Answers And Hints To Selected Problems