Introduction to Bimatrices
by W. B. V. Kandasamy, F. Smarandache, K. Ilanthenral
Publisher: arXiv 2005
Number of pages: 181
This book introduces the concept of bimatrices, and studies several notions like bieigen values, bieigen vectors, characteristic bipolynomials, bitransformations, bioperators and bidiagonalization. Further, we introduce and explore the concepts like fuzzy bimatrices, neutrosophic bimatrices and fuzzy neutrosophic bimatrices, which will find its application in fuzzy and neutrosophic logic.
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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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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.
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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.