BENTUK NORMAL SMITH DAN MATRIKS BAIK KIRI / KANAN
| Main Author: | NOVITASARI, LAILY |
|---|---|
| Format: | Thesis NonPeerReviewed Book |
| Bahasa: | eng |
| Terbitan: |
, 2009
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| Subjects: | |
| Online Access: |
http://eprints.umm.ac.id/8855/1/BENTUK__NORMAL_SMITH_DAN_MATRIKS_BAIK_KIRI.pdf http://eprints.umm.ac.id/8855/ |
Daftar Isi:
- The smith normal form and left good matrix have been known in matrix teorem. Any matriks over the principal ideal ring has a Smith normal form. The Smith normal form of a matrix has many applications on various fields such as a solution of Diaphantin linier equation and differential equation system. Furthermore, a matrix A with entries in a commutative ring R with unity is left good matrix if for every vector x , the ideal xA is the same as the ideal A . this paper discusses left good matrikx and the relation between the Smith normal form and left good matrix. Since, for any matrix A and vector x , it is obvious that x xA ⊆ , the content of left good matrix is in the reverse containment. The relation is as the following: matrix A with entries in principal ideal ring of size m by n, with n m < , has Smith normal form ] 0 , [ m I if only if A is a left good matrix