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The Theory of Matrices, Volume I

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Author(s): F. R. Gantmacher
Series: The Theory of Matrices 01
Publisher: Mir Publishers
Year: 1959

Language: English
City: Moscow
Tags: linear algebra; matrix algebra

Front Cover
Volume One
PREFACE
PUBLISHERS’ PREFACE
CONTENTS
1. MATRICES AND OPERATIONS ON MATRICES
2. THE ALGORITHM OF GAUSS AND SOME OF ITS APPLICATIONS
3. LINEAR OPERATORS IN AN n-DIMENSIONAL VECTOR SPACE
4. THE CHARACTERISTIC POLYNOMIAL AND THE MINIMAL POLYNOMIAL OF A MATRIX
5. FUNCTIONS OF MATRICES
6. EQUIVALENT TRANSFORMATIONS OF POLYNOMIAL MATRICES. ANALYTIC THEORY OF ELEMENTARY DIVISORS
7. THE STRUCTURE OF A LINEAR OPERATOR IN AN n-DIMEN SIONAL SPACE
8. MATRIX EQUATIONS
9. LINEAR OPERATORS IN A UNITARY SPACE
10. QUADRATIC AND HERMITIAN FORMS
INDEX