Smith Normal Form

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Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. In mathematics, the Smith normal form is a normal form that can be defined for any matrix (not necessarily square) with entries in a principal ideal domain (PID). The Smith normal form of a matrix is diagonal, and can be obtained from the original matrix by multiplying on the left and right by invertible square matrices. In particular, the integers are a PID, so one can always calculate the Smith normal form of an integer matrix. The Smith normal form is very useful for working with finitely generated modules over a PID, and in particular for deducing the structure of a quotient of a free module.

Weitere Informationen

  • Allgemeine Informationen
    • GTIN 09786131242632
    • Editor Lambert M. Surhone, Mariam T. Tennoe, Susan F. Henssonow
    • Größe H220mm x B220mm
    • EAN 9786131242632
    • Format Fachbuch
    • Titel Smith Normal Form
    • Herausgeber Betascript Publishing
    • Anzahl Seiten 76
    • Genre Mathematik

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