Showing papers by "Roger A. Horn published in 2017"
11 May 2017
TL;DR: In this paper, the authors present a complete second course in linear algebra, tailored to help students transition from basic theory to advanced topics and applications, including the singular value decomposition, the Jordan canonical form, the spectral theorem, the QR factorization, normal matrices, Hermitian matrices and positive definite matrices.
Abstract: Linear algebra is a fundamental tool in many fields, including mathematics and statistics, computer science, economics, and the physical and biological sciences. This undergraduate textbook offers a complete second course in linear algebra, tailored to help students transition from basic theory to advanced topics and applications. Concise chapters promote a focused progression through essential ideas, and contain many examples and illustrative graphics. In addition, each chapter contains a bullet list summarising important concepts, and the book includes over 600 exercises to aid the reader's understanding. Topics are derived and discussed in detail, including the singular value decomposition, the Jordan canonical form, the spectral theorem, the QR factorization, normal matrices, Hermitian matrices (of interest to physics students), and positive definite matrices (of interest to statistics students).
25 citations
TL;DR: In this article, the authors prove that a system A is transformed by isometries of its spaces to a system B if and only if the traces of all closed directed walks in Q ˜ ( A ) and Q ´ ( B ) coincide.
10 citations
01 May 2017
1 citations