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Linear Algebra is intended for a one-term course at the junior or senior level. It begins with an exposition of the basic theory of vector spaces and proceeds to explain the fundamental structure theorems for linear maps, including eigenvectors and eigenvalues, quadric and hermitian forms, diagonalization of symmetric, hermitian, and unitary linear maps and matrices, triangulation, and Jordan canonical form. The book also includes a useful chapter on convex sets and the finite-dimensional Krein-Milman theorem. The presentation is aimed at the student who has already had some exposure to the elementary theory of matrices, determinants, and linear maps. However, the book is logically self-contained. In this new edition, many parts of the book have been rewritten and reorganized, and new exercises have been added.
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- Created November 2, 2008
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August 18, 2010 | Edited by IdentifierBot | added LibraryThing ID |
October 16, 2009 | Edited by WorkBot | add edition to work page |
June 20, 2009 | Edited by EdwardBot | fix broken author (step 2) |
June 20, 2009 | Edited by EdwardBot | fix broken author (step 1) |
November 2, 2008 | Created by ImportBot | Imported from The Laurentian Library MARC record |