Matrix Theory: From Generalized Inverses to Jordan Form - Rilegato

Libro 38 di 70: Chapman & Hall/CRC Pure and Applied Mathematics

Piziak, Robert ; Odell, P.L.

9781138581722: Matrix Theory: From Generalized Inverses to Jordan Form

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ISBN 10: 1138581720 ISBN 13: 9781138581722

Casa editrice: Chapman and Hall/CRC, 2023

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Da: EUR 73,10

In 1990, the National Science Foundation recommended that every college mathematics curriculum should include a second course in linear algebra. In answer to this recommendation, Matrix Theory: From Generalized Inverses to Jordan Form provides the material for a second semester of linear algebra that probes introductory linear algebra concepts while also exploring topics not typically covered in a sophomore-level class.Tailoring the material to advanced undergraduate and beginning graduate students, the authors offer instructors flexibility in choosing topics from the book. The text first focuses on the central problem of linear algebra: solving systems of linear equations. It then discusses LU factorization, derives Sylvester's rank formula, introduces full-rank factorization, and describes generalized inverses. After discussions on norms, QR factorization, and orthogonality, the authors prove the important spectral theorem. They also highlight the primary decomposition theorem, Schur's triangularization theorem, singular value decomposition, and the Jordan canonical form theorem. The book concludes with a chapter on multilinear algebra.With this classroom-tested text students can delve into elementary linear algebra ideas at a deeper level and prepare for further study in matrix theory and abstract algebra.

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