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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 ±à¼­ÊÖ¼Ç