ABSTRACT

Linear algebra forms the basis for much of modern mathematics-theoretical, applied, and computational. Finite-Dimensional Linear Algebra provides a solid foundation for the study of advanced mathematics and discusses applications of linear algebra to such diverse areas as combinatorics, differential equations, optimization, and approximation.The au

chapter 1|18 pages

Some problems posed on vector spaces

chapter 2|74 pages

Fields and vector spaces

chapter 3|112 pages

Linear operators

chapter 4|68 pages

Determinants and eigenvalues

chapter 5|60 pages

The Jordan canonical form

chapter 6|92 pages

Orthogonality and best approximation

chapter 7|38 pages

The spectral theory of symmetric matrices

chapter 8|44 pages

The singular value decomposition

chapter 10|36 pages

Analysis in vector spaces

chapter |4 pages

A The Euclidean algorithm

chapter |4 pages

B Permutations

chapter C|8 pages

C Polynomials

chapter |4 pages

D Summary of analysis in R