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Foundations of Linear Algebra

Overview of attention for book
Cover of 'Foundations of Linear Algebra'

Table of Contents

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    Book Overview
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    Chapter 1 Basic Notation and Terminology
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    Chapter 2 Fields and Integral Domains
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    Chapter 3 Vector Spaces
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    Chapter 4 Linear Independence and Dimension
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    Chapter 5 Linear Transformations
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    Chapter 6 Endomorphism Rings of Vector Spaces
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    Chapter 7 Representation of Linear Transformations by Matrices
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    Chapter 8 Rings of Square Matrices
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    Chapter 9 Systems of Linear Equations
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    Chapter 10 Determinants
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    Chapter 11 Eigenvectors and Eigenvalues
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    Chapter 12 The Jordan Canonical Form
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    Chapter 13 The Dual Space
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    Chapter 14 Inner Product Spaces
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    Chapter 15 Endomorphisms of Inner Product Spaces
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    Chapter 16 The Moore-Penrose Pseudoinverse
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    Chapter 17 Bilinear Transformations and Forms
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    Chapter 18 Algebras Over A Field
Attention for Chapter 2: Fields and Integral Domains
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