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Problems and theorems in linear algebra / V. V. Prasolov ; [translated by D.A. Leites from an original Russian manuscript ; translation edited by Simeon Ivanov]

Auteur principal : Prasolov, Victor Vasil'evich, 1956-, AuteurType de document : MonographieCollection : Translations of mathematical monographs, 134Langue : anglais.Pays : Etats Unis.Éditeur : Providence : American Mathematical Society, 1994Description : 1 vol. (xviii-229 p.) : appendix ; 26 cmISBN : 0821802364.ISSN : 0065-9282.Bibliographie : Bibliogr. p. 223-225. Index.Sujet MSC : 15A15, Basic linear algebra, Determinants, permanents, traces, other special matrix functions
15A03, Basic linear algebra, Vector spaces, linear dependence, rank, lineability
15A04, Basic linear algebra, Linear transformations, semilinear transformations
15A21, Basic linear algebra, Canonical forms, reductions, classification
15A18, Basic linear algebra, Eigenvalues, singular values, and eigenvectors
En-ligne : Zentralblatt | MathSciNet
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Bibliogr. p. 223-225. Index

From the preface: "In this book I tried to collect the most attractive problems and theorems of linear algebra still accessible to students majoring in mathematics. The computational aspects of linear algebra were left somewhat aside. The major part of the book contains results known from journal publications only. I assume that the reader is acquainted with the main notions of linear algebra: linear space, basis, linear map, and the determinant of a matrix. Apart from this, all the essential theorems of the standard course of linear algebra are given here with complete proofs, and some definitions from the above list of prerequisites are recollected. I placed the prime emphasis on nonstandard neat proofs of known theorems.'' ... (MathSciNet)

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