by Alun Wyn-jones
Number of pages: 149
The primary goal of this book is to describe circulants in an algebraic context. Much of the book is concerned with old problems, especially those parts dealing with the circulant determinant. Consequently, the book oscillates between the point of view of circulants as a commutative algebra, and the concrete point of view of circulants as matrices with emphasis on their determinants.
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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.
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.
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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.