Elementary Linear Algebra, Sixth Edition provides a solid introduction to both the computational and theoretical aspects of linear algebra, covering many important real-world applications, including graph theory, circuit theory, Markov chains, elementary coding theory, least-squares polynomials and least-squares solutions for inconsistent systems, differential equations, computer graphics and quadratic forms. In addition, many computational techniques in linear algebra are presented, including iterative methods for solving linear systems, LDU Decomposition, the Power Method for finding eigenvalues, QR Decomposition, and Singular Value Decomposition and its usefulness in digital imaging. Prepares students with a thorough coverage of the fundamentals of introductory linear algebra Presents each chapter as a coherent, organized theme, with clear explanations for each new concept Builds a foundation for math majors in the reading and writing of elementary mathematical proofs INDICE: 1. Vectors and Matrices 2. Systems of Linear Equations 3. Determinants and Eigenvalues 4. Finite Dimensional Vector Spaces 5. Linear Transformations 6. Orthogonality 7. Complex Vector Spaces and General Inner Products 8. Additional Applications 9. Numerical Methods Appendices A: Miscellaneous Proofs B: Functions C: Complex Numbers D: Elementary Matrices E: Answers to Selected Exercies
- ISBN: 978-0-12-822978-1
- Editorial: Academic Press
- Encuadernacion: Rústica
- Páginas: 525
- Fecha Publicación: 03/06/2022
- Nº Volúmenes: 1
- Idioma: Inglés
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- MATEMÁTICAS /
- ÁLGEBRA