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The linear algebra a beginning graduate student ought to know

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Cover of 'The linear algebra a beginning graduate student ought to know'

Table of Contents

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    Book Overview
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    Chapter 1 Notation and terminology
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    Chapter 2 Fields
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    Chapter 3 Vector spaces over a field
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    Chapter 4 Algebras over a field
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    Chapter 5 Linear independence and dimension
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    Chapter 6 Linear transformations
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    Chapter 7 The endomorphism algebra of a vector space
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    Chapter 8 Representation of linear transformations by matrices
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    Chapter 9 The algebra of square matrices
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    Chapter 10 Systems of linear equations
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    Chapter 11 Determinants
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    Chapter 12 Eigenvalues and eigenvectors
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    Chapter 13 Krylov subspaces
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    Chapter 14 The dual space
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    Chapter 15 Inner product spaces
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    Chapter 16 Orthogonality
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    Chapter 17 Selfadjoint Endomorphisms
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    Chapter 18 Unitary and Normal endomorphisms
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    Chapter 19 Moore-Penrose pseudoinverses
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    Chapter 20 Bilinear transformations and forms
Attention for Chapter 9: The algebra of square matrices
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