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
Copyright 1988, 500 pp.
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Introductory Linear Algebra-Mathematics
Linear Algebra-Mechanical Engineering
This classic volume applies linear algebra to a variety
of disciplines engineering, physical science, social science,
business and motivates readers with illustrative examples.
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
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,
10. Eigensystems of General Matrices, with Applications.
11. Quadratic Forms and Variational Characterizations of
12. Linear Programming.
Answers and Aids to Selected Problems.