Linear Algebra Examples C-3: The Eigenvalue Problem and Euclidean Vector Space
by Leif Mejlbro
Publisher: BookBoon 2009
Number of pages: 136
The book is a collection of solved problems in linear algebra, this third volume covers the eigenvalue problem and Euclidean vector space. All examples are solved, and the solutions usually consist of step-by-step instructions, and are designed to assist students in methodically solving problems.
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by Steven J Cox - Rice University
Matrix theory is a language for representing and analyzing multivariable systems. These notes will demonstrate the role of matrices in the modeling of physical systems and the power of matrix theory in the analysis and synthesis of such systems.
by W. B. Vasantha Kandasamy, Florentin Smarandache - arXiv
The authors introduce a new type of product on matrices called the natural product Xn - an extension of product in the case or row matrices of the same order. When two matrices of same order can be added, nothing prevents one from multiplying them.
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This book introduces the concept of bimatrices, and studies several notions like bieigen values, bieigen vectors, characteristic bipolynomials, bitransformations, bioperators and bidiagonalization. The concepts of fuzzy bimatrices is introduced.
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A concise overview of matrix algebra's many applications, discussing topics such as reviews of matrices, arrays, and determinants; the characteristic equation; associated integral matrices; equivalence, congruence, and similarity; etc.