Preface
1 Fundamentals on Vector Spaces and Linear Transformations
1.1 Bases and Coordinates
1.2 Linear Transformations and Matrices
1.3 Some Special Matrices
1.4 Polynomials in T and A
1.5 Subspaces,Complements,and Invariant Subspaces
2 The Structure of a Linear Transformation
2.1 Eigenvalues,Eigenvectors,and Generalized Eigenvectors
2.2 The Minimum Polynomial
2.3 Reduction to BDBUTCD Form
2.4 The Diagonalizable Case
2.5 Reduction to Jordan Canonical Form
2.6 Exercises
3 An Algorithm for Jordan Canonical Form and Jordan Basis
3.1 The ESP of a Linear Transformation
3.2 The Algorithm for Jordan Canonical Form
3.3 The Algorithm for a Jordan Basis
3.4 Examples
3.5 Exercises
A Answers to odd-numbered exercises
A.1 Answers to Exercises-Chapter 2
A.2 Answers to Exercises-Chapter 3
Notation
Index
编辑手记
