Exercises and Problems in Linear Algebra by John M Erdman
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About this book :-
This book contains an extensive collection of exercises and problems that address relevant topics in linear algebra. The exercises will be both interesting and helpful to an average student. Topics that the author finds missing or inadequately covered in most existing books are also included. The exercises will be both interesting and helpful to an average student. Some are fairly routine calculations, while others require serious thought.The format of the questions makes them suitable for teachers to use in quizzes and assigned homework. Some of the problems may provide excellent topics for presentation and discussions. Furthermore, answers are given for all odd-numbered exercises which will be extremely useful for self-directed learners. In each chapter, there is a short background section which includes important definitions and statements of theorems to provide context for the following exercises and problems.
Book Detail :-
This book has following details information.
Title:
Exercises and Problems in Linear Algebra by John M Erdman by NA
Publisher:
World Scientific Pub Co Inc
Series:
freeCompBooks
Year:
2020
Pages:
220
Type:
PDF
Language:
English
ISBN-10 #:
9811220409
ISBN-13 #:
978-9811220401
Country:
Pakistan
License:
GNU Free Documentation License
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About Author :-
The author NA
NA
Book Contents :-
conver the following topics.
Part-1 MATRICES AND LINEAR EQUATIONS
1. Arithmetic of Matrices
2. Elementary Matrices; Determinants
3. Vector Geometry in R^n
Part-2 VECTOR SPACES
4. Vector Spaces
5. Subspaces
6. Linear Independence
7. Basis for a Vector Space
Part-3 LINEAR MAPS BETWEEN VECTOR SPACES
8. Linearity
9. Linear Maps between Euclidean Spaces
10. Projection Operators
Part-4 SPECTRAL THEORY OF VECTOR SPACES
11. Eigenvalues and Eigenvectors
12. Diagonalization of Matrices
13. Spectral Theorem for Vector Spaces
14. Some Applications of the Spectral Theorem
15. Every Operator is Diagonalizable Plus Nilpotent
Part-5 THE GEOMETRY OF INNER PRODUCT SPACES
16. Complex Arithmetic
16.4 Answers to Odd-Numbered Exercises
17. Real and Complex Inner Product Spaces
18. Orthonormal Sets of Vectors
19. Quadratic Forms
20. Optimization
Part-6 ADJOINT OPERATORS
21. Adjoints and Transposes
22. The Four Fundamental Subspaces
23. Orthogonal Projections
24. Least Squares Approximation
Part-7 SPECTRAL THEORY OF INNER PRODUCT SPACES
25. Spectral Theorem for Real Inner Product Spaces
26. Spectral Theorem for Complex Inner Product Spaces
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