Linear Algebra and Matrix Theory

This revision of a well-known text includes more sophisticated mathematical material. A new section on applications provides an introduction to the modern treatment of calculus of several variables, and the concept of duality receives expanded coverage. Notations have been changed to correspond to more current usage. Introduction.

Vector Spaces.

Linear Transformations and Matrics.

Determinants, Eigenvalues, and Similarity Transformations.

Linear Functionals, Bilinear Forms, Quadratic Forms.

Orthogonal and Unitary Transformations, Normal Matrices.

Selected Applications of Linear Algebra.

Appendix.

Answers to Selected Exercises.

E. D. Nering is the author of Linear Algebra and Matrix Theory, 2nd Edition, published by Wiley.