Super Linear Algebra
W.B. Vasantha Kandasamy, Florentin Smarandache

TL;DR
This book introduces super linear algebra and super vector spaces, extending traditional linear algebra with super matrices that can store data in multiple blocks, offering new tools for computational applications.
Contribution
It formalizes super linear algebra and super vector spaces, providing foundational theorems, properties, and applications in fields like Markov chains and economic models.
Findings
Super matrices enable multi-block data storage.
Theorems on super linear algebra properties are established.
Applications demonstrated in Markov chains and economic models.
Abstract
In this book, the authors introduce the notion of Super linear algebra and super vector spaces using the definition of super matrices defined by Horst (1963). This book expects the readers to be well-versed in linear algebra. Many theorems on super linear algebra and its properties are proved. Some theorems are left as exercises for the reader. These new class of super linear algebras which can be thought of as a set of linear algebras, following a stipulated condition, will find applications in several fields using computers. The authors feel that such a paradigm shift is essential in this computerized world. Some other structures ought to replace linear algebras which are over a century old. Super linear algebras that use super matrices can store data not only in a block but in multiple blocks so it is certainly more powerful than the usual matrices. This book has 3 chapters. Chapter…
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Taxonomy
TopicsMatrix Theory and Algorithms · Advanced Topics in Algebra
