Linear algebra
Author(s)
Bibliographic Information
Linear algebra
Addison-Wesley, c1995
3rd ed
Available at 3 libraries
  Aomori
  Iwate
  Miyagi
  Akita
  Yamagata
  Fukushima
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  Tochigi
  Gunma
  Saitama
  Chiba
  Tokyo
  Kanagawa
  Niigata
  Toyama
  Ishikawa
  Fukui
  Yamanashi
  Nagano
  Gifu
  Shizuoka
  Aichi
  Mie
  Shiga
  Kyoto
  Osaka
  Hyogo
  Nara
  Wakayama
  Tottori
  Shimane
  Okayama
  Hiroshima
  Yamaguchi
  Tokushima
  Kagawa
  Ehime
  Kochi
  Fukuoka
  Saga
  Nagasaki
  Kumamoto
  Oita
  Miyazaki
  Kagoshima
  Okinawa
  Korea
  China
  Thailand
  United Kingdom
  Germany
  Switzerland
  France
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  United States of America
Note
Includes index
Description and Table of Contents
Description
Fraleigh and Beauregard's text is known for its clear presentation and writing style, mathematical appropriateness, and overall student usability. Its inclusion of calculus-related examples, true/false problems, section summaries, integrated applications, and coverage of Cn make it a superb text for the sophomore or junior-level linear algebra course. This Third Edition retains the features that have made it successful over the years, while addressing recent developments of how linear algebra is taught and learned. Key concepts are presented early on, with an emphasis on geometry.
Table of Contents
1. Vectors, Matrices, and Linear Systems.
Vectors in Euclidean Spaces.
The Norm and the Dot Product.
Matrices and Their Algebra.
Solving Systems of Linear Equations.
Inverses of Square Matrices.
Homogeneous Systems, Subspaces, and Bases.
Application to Population Distribution (Optional).
Application to Binary Linear Codes (Optional).
2. Dimension, Rank, and Linear Transformations.
Independence and Dimension.
The Rank of a Matrix.
Linear Transformations of Euclidean Spaces.
Linear Transformations of the Plane (Optional).
Lines, Planes, and Other Flats (Optional).
3. Vector Spaces.
Vector Spaces.
Basic Concepts of Vector Spaces.
Coordinatization of Vectors.
Linear Transformations.
Inner-Product Spaces (Optional).
4. Determinants.
Areas, Volumes, and Cross Products.
The Determinant of a Square Matrix.
Computation of Determinants and Cramer's Rule.
Linear Transformations and Determinants (Optional).
5. Eigenvalues and Eigenvectors.
Eigenvalues and Eigenvectors.
Diagonalization.
Two Applications.
6. Orthogonality.
Projections.
The Gram-Schmidt Process.
Orthogonal Matrices.
The Projection Matrix.
The Method of Least Squares.
7. Change of Basis.
Coordinatization and Change of Basis.
Matrix Representations and Similarity.
8. Eigenvalues: Further Applications and Computations.
Diagonalization of Quadratic Forms.
Applications to Geometry.
Applications to Extrema.
Computing Eigenvalues and Eigenvectors.
9. Complex Scalars.
Algebra of Complex Numbers.
Matrices and Vector Spaces with Complex Scalars.
Eigenvalues and Diagonalization.
Jordan Canonical Form.
10. Solving Large Linear Systems.
Considerations of Time.
The LU-Factorization.
Pivoting, Scaling, and Ill-Conditioned Matrices.
Appendices.
Mathematical Induction.
Two Deferred Proofs.
LINTEK Routines.
MATLAB Procedures and Commands Used in the Exercises.
Appendices.
by "Nielsen BookData"