REZA FAHLEVI, MAHFUDZ
(2014)
*PEMBENTUKKAN FIELD ATAS MATRIKS CIRCULANT.*
Other thesis, University of Muhammadiyah Malang.

## Abstract

Generally a set of matrices is not commutative for binary multiplication properties. It is due to the multiplication of two matrices that must consider the rows and columns. This thesis will show about a set of matrices which commutative for multiplication operation properties. It is the set of circulant matrices. Circulant matrices have interacts with the cyclic permutation matrices. The resulted of relation cyclic permutation matrices with circulant matrices is diagonalized of circulant matrices by the Fourier matrices. The results of denationalization circulant matrices can be applied to determine the inverse matrices and prove the properties of the matrices multiplication is commutative. The commutative properties on the set of circulant matrices is an important axiom for build the algebraic structures in the set of circulant matrices, especially in algebraic structures that have two binary operations are addition and multiplication. Furthermore, in this thesis will be indicated that the definition of an algebraic structures field proofed by the set of circulant matrices.

Item Type: | Thesis (Other) |
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Subjects: | Q Science > QA Mathematics |

Divisions: | Faculty of Teacher Training and Education > Department of Mathematics Education (84202) |

Depositing User: | Gusti Vani Putri Cahya |

Date Deposited: | 11 Feb 2015 11:40 |

Last Modified: | 11 Feb 2015 11:40 |

URI : | http://eprints.umm.ac.id/id/eprint/16021 |

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