An Introduction to Linear Algebra /
"The techniques of linear algebra are used extensively across the applied sciences, and in many different areas of algebra such as group theory, module theory, representation theory, ring theory, and Galois theory. Written by experienced researchers with a decades of teaching experience, Introd...
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| Format: | eBook |
| Language: | English |
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Boca Raton, FL :
CRC Press,
2017.
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| Edition: | First edition. |
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| Online Access: | Connect to the full text of this electronic book |
Table of Contents:
- Half Title ; Title ; Copyright; Dedication; Contents; Preface ; Chapter 1 Linear Vector Spaces; Chapter 2 Matrices; Chapter 3 Determinants; Chapter 4 Invertible Matrices; Chapter 5 Linear Systems; Chapter 6 Linear Systems (Cont'd; Chapter 7 Factorization; Chapter 8 Linear Dependence and Independence; Chapter 9 Bases and Dimension; Chapter 10 Coordinates and Isomorphisms; Chapter 11 Rank of a Matrix; Chapter 12 Linear Mappings; Chapter 13 Matrix Representation; Chapter 14 Inner Products and Orthogonality; Chapter 15 Linear Functionals; Chapter 16 Eigenvalues and Eigenvectors.
- Chapter 17 Normed Linear SpacesChapter 18 Diagonalization; Chapter 19 Singular Value Decomposition; Chapter 20 Differential and Difference Systems; Chapter 21 Least Squares Approximation; Chapter 22 Quadratic Forms; Chapter 23 Positive Definite Matrices; Chapter 24 Moore-Penrose Inverse; Chapter 25 Special Matrices; Bibliography ; Index.