Linear Algebra Done Right, Second Edition

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Linear AlgebraDone Right, Second EditionSheldon AxlerSpringerContentsPreface to the InstructorixPreface to the StudentxiiiAcknowledgmentsxvChapter1Vect or Spaces1Complex of Vector of Vector and Direct Vector Spaces21Span and Linear Maps37Definitions and Spaces and Matrix of a Linear and Eigenvectors75Invariant Applied to Subspaces on Real Vector Spaces97Inner Projections and Minimization Functionals and on Inner-Product Spaces127Self-Adjoint and Normal Spectral Operators on Real Inner-Product and Singular-Value on Complex Vector Spaces163Generalized Characteristic of an Minimal on Real Vector Spaces193Eigenvalues of Square Upper-Triangular Characteristic and Determinant213Change of of an of a Index247Index249Preface to the InstructorYou are probably about to teach a course that will give

Orthogonal Projections and Minimization Problems.....111 Linear Functionals and Adjoints ... Decomposition of an Operator.....173. Contents vii Square Roots ... with the traditional …

  Decomposition, Orthogonal