Elementary Linear Algebra

Provides students with a clear introduction to, and valuable practice with, computational and theoretical linear algebra

Stephen Andrilli (Author), David Hecker (Author)

9780128229781, Elsevier Science

Paperback, published 17 August 2022

544 pages, Approx. 105 illustrations (105 in full color)
27.6 x 21.6 x 3.4 cm, 1.47 kg

"The authors give a clear and logically correct exposition of the foundations of linear algebra and rightly determinate the balance between the computational parts and the more theoretical parts." --K.Burian, zbMATH Open

"A 35-page appendix gives brief descriptions of commands needed when using computational tools such as Derive, Maple, MATLAB, Mathematica and various graphing calculators." --J.D.Dixon, zbMATH Open

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.

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

Subject Areas: Algebra [PBF]