Applied Linear Algebra

Applied Linear Algebra, 3/e

Ben Noble, University of Wisconsin
James W. Daniel, University of Texas, Austin

Published February, 1988 by Prentice Hall Engineering/Science/Mathematics

See other books about:
Introductory Linear Algebra-Mathematics

Linear Algebra-Mechanical Engineering

Summary

This classic volume applies linear algebra to a variety of disciplines — engineering, physical science, social science, business — and motivates readers with illustrative examples.

Features

contains important modern applications such as signal processing and Karmarkar's approach to linear programming.
uses Gauss reduction and “Gauss-reduced form” as the fundamental theoretical and computational tool.
includes examples and problems using modern software for matrix computations, and describes properties and sources of software for real applied problems.
stresses both the theoretical and practical importance of tools such as the singular-value decomposition and generalized (pseudo) inverses, the QR decomposition, Householder transformations/matrices, and orthogonal projections.
features 1,100 exercises, including optional computer examples and problems.

Table of Contents

1. Matrix Algebra.
2. Some Simple Applications and Questions.
3. Solving Equations and Finding Inverses: Methods.
4. Solving Equations and Finding Inverses: Theory.
5. Vectors and Vector Spaces.
6. Introduction; Geometrical Vectors.
7. Linear Transformations and Matrices.
8. Eigenvalues and Eigenvectors: An Overview.
9. Eigensystems of Symmetric Hermitian, and Normal Matrices, with Applications.
10. Eigensystems of General Matrices, with Applications.
11. Quadratic Forms and Variational Characterizations of Eigenvalues.
12. Linear Programming.
Answers and Aids to Selected Problems.
Bibliography.
Index.