Synopses & Reviews
This versatile undergraduate text can be used in a variety of courses in linear algebra. It contains enough material for a two-semester course, and it also serves as a support text and reference. Chapter Ten, on linear programming, will be of special interest to students of business and economics. A balanced combination of formal theory and related computational techniques, this treatment begins with the familiar problem of solving a system of linear equations. Subsequent chapters explore linear spaces and mappings, matrices, determinants, inner product spaces, scalar-valued functions, and linear differential equations. The author introduces metric notions of Euclidean space at an early stage and employs the computational technique of Gaussian elimination throughout the book. Solutions to selected exercises appear at the end.
This versatile undergraduate-level text contains enough material for a one-year course and serves as a support text and reference. It combines formal theory and related computational techniques. Solutions to selected exercises. 1978 edition.
Table of Contents
1. Linear Equations2. Linear Spaces3. Linear Mappings4. Matrices5. Determinants6. Equivalence Relations on Rectangular Matrices7. A Canonical Form for Similarity8. Inner Product Spaces9. Scalar-Valued Functions10. Application: Linear Programming11. Application: Linear Differential EquationsAppendix ASolutions for Selected ExercisesIndex