Title
Linear Algebra (Undergraduate Texts in Mathematics),New
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Linear Algebra is intended for a oneterm 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 finitedimensional KreinMilman 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 selfcontained. In this new edition, many parts of the book have been rewritten and reorganized, and new exercises have been added.
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