目录 Preface to the InstructorPreface to the StudentAcknowledgmentsCHAPTER 1 Vector Spaces Complex Numbers Definition of Vector Space Properties of Vector Spaces Subspaces Sums and Direct Sums ExercisesCHAPTER 2 Finite-Dimenslonal Vector Spaces Span and Linear Independence Bases Dimension ExercisesCHAPTER 3 Linear Maps Definitions and Examples Null Spaces and Ranges The Matrix of a Linear Map Invertibility ExercisesCHAPTER 4 Potynomiags Degree Complex Coefficients Real Coefflcients ExercisesCHAPTER 5 Eigenvalues and Eigenvectors lnvariant Subspaces Polynomials Applied to Operators Upper-Triangular Matrices Diagonal Matrices Invariant Subspaces on Real Vector Spaces ExercisesCHAPTER 6 Inner-Product spaces Inner Products Norms Orthonormal Bases Orthogonal Projections and Minimization Problems Linear Functionals and Adjoints ExercisesCHAPTER 7 Operators on Inner-Product Spaces Self-Adjoint and Normal Operators The Spectral Theorem Normal Operators on Real Inner-Product Spaces Positive Operators Isometries Polar and Singular-Value Decompositions ExercisesCHAPTER 8 Operators on Complex Vector Spaces Generalized Eigenvectors The Characteristic Polynomial Decomposition of an Operator Square Roots The Minimal Polynomial Jordan Form Exercises CHAPTER 9 Operators on Real Vector Spaces Eigenvalues of Square Matrices Block Upper-Triangular Matrices The Characteristic Polynomial ExercisesCHAPTER 10 Trace and Determinant Change of Basis Trace Determinant of an Operator Determinant of a Matrix Volume ExercisesSymbol IndexIndex 作者介绍
占位居中
直播中，去观看