New York: Dover Publications, 1990. — 336 pages. 2nd Edition ISBN: 0486663280
Undergraduate-level introduction to linear algebra and matrix theory deals with matrices and linear systems, vector spaces, determinants, linear transformations, similarity, polynomials, and polynomial matrices. Also spectral decomposition, Jordan canonical form, solution of the matrix equation AX=XB, and over 375 problems, many with answers. "Comprehensive." Electronic Engineer's Design Magazine.
Matrices and Linear Systems
Vector Spaces
Determinants
Linear Transformations
Similarity: Part I
Polynomials and Polynomial Matrices
Similarity: Part II
Matrix Analysis
Numerical Methods
Answers to Selected Exercises
Appendix
Glossary of Mathematical Symbols