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Elementary linear algebra. 6th edition. (English) Zbl 1491.15001

Amsterdam: Elsevier/Academic Press (ISBN 978-0-12-822978-1/pbk; 978-0-323-98426-3/ebook). xxii, 522 p. (2023).
Publisher’s description: 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.
See the reviews of the 1st and 2nd editions in [Zbl 0787.15001; Zbl 0963.15001]. For the 4th and 5th editions see [Zbl 1204.15001; Zbl 1338.15001].

MSC:

15-01 Introductory exposition (textbooks, tutorial papers, etc.) pertaining to linear algebra
15A04 Linear transformations, semilinear transformations
15A06 Linear equations (linear algebraic aspects)
15A15 Determinants, permanents, traces, other special matrix functions
15A18 Eigenvalues, singular values, and eigenvectors
15A63 Quadratic and bilinear forms, inner products
65F05 Direct numerical methods for linear systems and matrix inversion
15A03 Vector spaces, linear dependence, rank, lineability
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