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Solution to Linear Algebra Hoffman & Kunze Second Edition


Chapter 1. Linear Equations

Chapter 2. Vector Spaces

Chapter 3. Linear Transformations

Chapter 4. Polynomials

Chapter 5. Determinants

  • 5.1 Commutative Rings (no exercises)
  • 5.2 Determinant Functions
  • 5.3 Permutations and the Uniqueness of Determinants
  • 5.4 Additional Properties of Determinants
  • 5.5 Modules (no exercises)
  • 5.6 Multilinear Functions (no exercises)
  • 5.7 The Grassman Ring (no exercises)

Chapter 6. Elementary Canonical Forms

Chapter 7. The Rational and Jordan Forms

Chapter 8. Inner Product Spaces

  • 8.1 Inner Products
  • 8.2 Inner Product Spaces
  • 8.3 Linear Functionals and Adjoints
  • 8.4 Unitary Operators
  • 8.5 Normal Operators

Chapter 9. Operators on Inner Product Spaces

  • 9.1 Introduction (no exercises)
  • 9.2 Forms on Inner Product Spaces
  • 9.3 Positive Forms
  • 9.4 More on Forms (no exercises)
  • 9.5 Spectral Theory
  • 9.6 Further Properties of Normal Operators (no exercises)

Chapter 10. Bilinear Forms

  • 10.1 Bilinear Forms
  • 10.2 Symmetric Bilinear Forms
  • 10.3 Skew-Symmetric Bilinear Forms
  • 10.4 Groups Preserveing Bilinear Forms

Linearity

This website is supposed to help you study Linear Algebras. Please only read these solutions after thinking about the problems carefully. Do not just copy these solutions.

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