Linear Algebra and Smarandache Linear Algebra : Www. Gallup. Unm. Edu/~Smarandache/Vasantha-Book10. Pdf

In this book the author analyzes the Smarandache linear algebra, and introduces several other concepts like the Smarandache semilinear algebra, Smarandache bilinear algebra and Smarandache anti-linear algebra. We indicate that Smarandache vector spaces of type II will be used in the study of neutrosophic logic and its applications to Markov chains and Leontief Economic models ? both of these research topics have intense industrial applications. The Smarandache linear algebra, is defined to be a Smarandache vector space of type II, on which there is an additional operation called product, such that for all a, b in V, ab is in V.The Smarandache vector space of type II is defined to be a module V defined over a Smarandache ring R such that V is a vector space over a proper subset k of R, where k is a field.Vasantha Kandasamy, W. B. is the author of 'Linear Algebra and Smarandache Linear Algebra : Www. Gallup. Unm. Edu/~Smarandache/Vasantha-Book10. Pdf', published 2003 under ISBN 9781931233750 and ISBN 1931233756.