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ISBN 10: 0321388887
ISBN 13: 9780321388889
Author: David C Lay
The author and publisher of this book have used their best efforts in preparing this book. These efforts include the development, research, and testing of the theories and programs to determine their effectiveness. The author and publisher make no warranty of any kind, expressed or implied, with regard to these programs or the documentation contained in this book. The author and publisher shall not be liable in any event for incidental or consequential damages in connection with, or arising out of, the furnishing, performance, or use of these programs. Reproduced by Pearson Addison-Wesley from electronic files supplied by the author. Copyright © 2012, 2006, 1997 Pearson Education, Inc. Publishing as Pearson Addison-Wesley, 75 Arlington Street, Boston, MA 02116. All rights reserved
Linear Equations in Linear Algebra
This chapter introduces the concept of linear equations, discussing their representation and methods for solving them.
Matrix Algebra
Focuses on the operations and properties of matrices, including addition, multiplication, and the inverse of a matrix.
Determinants
Explores the concept of determinants, their calculation, and their significance in linear algebra.
Vector Spaces
Discusses the properties and axioms of vector spaces, including subspaces, span, and linear independence.
Eigenvalues and Eigenvectors
Introduces eigenvalues and eigenvectors, their computation, and their applications in various fields.
Orthogonality and Least Squares
Covers the concepts of orthogonality in vector spaces and the method of least squares for solving overdetermined systems.
Symmetric Matrices and Quadratic Forms
Examines symmetric matrices, their properties, and the study of quadratic forms associated with them.
The Geometry of Vector Spaces
Explores the geometric interpretation of vector spaces, including concepts like linear transformations and inner product spaces.
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Tags: David C Lay, Introduction, Analysis