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Linear Algebra and Matrices - Topics for a Second Course (Hardcover)
Loot Price: R2,202
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Linear Algebra and Matrices - Topics for a Second Course (Hardcover)
Series: Pure and Applied Undergraduate Texts
Expected to ship within 12 - 17 working days
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Linear algebra and matrix theory are fundamental tools for almost
every area of mathematics, both pure and applied. This book
combines coverage of core topics with an introduction to some areas
in which linear algebra plays a key role, for example, block
designs, directed graphs, error correcting codes, and linear
dynamical systems. Notable features include a discussion of the
Weyr characteristic and Weyr canonical forms, and their
relationship to the better-known Jordan canonical form; the use of
block cyclic matrices and directed graphs to prove Frobenius's
theorem on the structure of the eigenvalues of a nonnegative,
irreducible matrix; and the inclusion of such combinatorial topics
as BIBDs, Hadamard matrices, and strongly regular graphs. Also
included are McCoy's theorem about matrices with property P, the
Bruck-Ryser-Chowla theorem on the existence of block designs, and
an introduction to Markov chains. This book is intended for those
who are familiar with the linear algebra covered in a typical first
course and are interested in learning more advanced results.
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