The Linear Algebra a Beginning Graduate Student Ought to Know

Jonathan S. Golan ()
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Jonathan S. Golan: University of Haifa, Dept. Math & Computer Science

in Springer Books from Springer

Date: 2012
Edition: 3rd ed. 2012
ISBN: 978-94-007-2636-9
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Chapters in this book:

Ch 1 Notation and Terminology

Jonathan S. Golan

Ch 2 Fields

Jonathan S. Golan

Ch 3 Vector Spaces Over a Field

Jonathan S. Golan

Ch 4 Algebras Over a Field

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Ch 5 Linear Independence and Dimension

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Ch 6 Linear Transformations

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Ch 7 The Endomorphism Algebra of a Vector Space

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Ch 8 Representation of Linear Transformations by Matrices

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Ch 9 The Algebra of Square Matrices

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Ch 10 Systems of Linear Equations

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Ch 11 Determinants

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Ch 12 Eigenvalues and Eigenvectors

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Ch 13 Krylov Subspaces

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Ch 14 The Dual Space

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Ch 15 Inner Product Spaces

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Ch 16 Orthogonality

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Ch 17 Selfadjoint Endomorphisms

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Ch 18 Unitary and Normal Endomorphisms

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Ch 19 Moore–Penrose Pseudoinverses

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Ch 20 Bilinear Transformations and Forms

Jonathan S. Golan

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DOI: 10.1007/978-94-007-2636-9

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