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Linear Algebra Done Right, Second Edition - UFPE

Linear AlgebraDone Right, Second EditionSheldon AxlerSpringerContentsPreface to the InstructorixPreface to the StudentxiiiAcknowledgmentsxvChapter1 Vector Spaces1 Complex of Vector of Vector and Direct Vector Spaces21 Span and Linear Maps37 Definitions and Spaces and Matrix of a Linear and Eigenvectors75 Invariant Applied to Subspaces on Real Vector Spaces97 inner Projections and Minimization Functionals and on inner - product Spaces127 Self-Adjoint and Normal Spectral Operators on Real inner - product and Singular-Value on Complex Vector Spaces163 Generalized

•Inner-product spaces are defined in Chapter 6, and their basic properties are developed along with standard tools such as ortho-normal bases, the Gram-Schmidt procedure, and adjoints. This chapter also shows how orthogonal projections can be …

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