Suitable for advanced undergraduates and graduate students, this text introduces basic concepts of linear algebra. Each chapter features multiple examples, proofs, and exercises. Includes solutions to selected problems. 1988 edition.
Inhaltsverzeichnis
Preface
A Guide to the Exercises
1. Vector Spaces
2. Linear Transformations
3. The Determinant Function
4. Eigenvalues, Eigenvectors, Diagonalization, and the Spectral Theorem in Rn
5. Complex Numbers and Complex Vector Spaces
6. Jordan Canonical Form
7. Differential Equations
Appendix 1: Some Basic Logic and Set Theory
Appendix 2: Mathematical Induction
Solutions
Index