Linear Algebra
Authors
Description
This book was awarded Brazil’s most important literary prize, the Jabutiin the Exact Sciences and Technology category. The publication is an excellent introduction to linear algebra because it does not require readers to have any previous knowledge of this area of mathematics. The author manages to balance theory and practical applications of the tools introduced.
Linear algebra is the study of vector spaces and the linear transformations between them. Vectors, linear transformations, matrices and quadratic forms are very important topics in this area of mathematics teaching. Among the topics covered in the 22 chapters are Gaussian elimination, Lagrange’s method, singular values, the pseudo-inverse, finite difference equations, direct sum and projection, normal and orthogonal operators, and the characteristic polynomial.
Target audience
Higher education
Name: Linear Algebra
Author(s): e Elon Lages Lima
Pages: 356
Publication: IMPA, 2020
ISBN: 978-65-990528-3-5
Edition: 10
1. vector spaces
2. Subspaces
3. Bases
4. Linear transformations
5. Product of Linear Transformations
6. Core and Image
7. Direct Sum and Projection
8. The Matrix of a Linear Transformation
9. Disposal
10. Domestic Product
11. The Deputy
12. Invariant subspaces
13. Self-adjoint operators
14. Orthogonal operators
15. Normal Operators – Real Case
16. Pseudo-inverse
17. Matrix topics
18. Quadratic shapes
19. Determinants
20. The Characteristic Polynomial
21. Complex Vector Spaces
22. Finite Difference Equations
Jordan’s Canonical Form
Bibliographical References
List of Symbols
Index
This book was awarded the Jabuti Prize for Exact Sciences, Technology and Informatics by the Brazilian Book Chamber in 1996.
