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Title: | Determinan dan Invers Matriks Circulant dengan Entri Bilangan Pell |
Other Titles: | Determinant and Inverse Circulant Matrix with Pell Numbers Entries |
Authors: | Mas’oed, Teduh Wulandari Guritman, Sugi Alfiana, Nadia |
Issue Date: | 2021 |
Publisher: | IPB University |
Abstract: | Matriks circulant adalah matriks yang entrinya bergeser satu kolom ke kanan secara berurutan, sehingga untuk mengetahui seluruh entrinya dapat dilihat hanya dari kolom pertama. Salah satu sifat yang dimiliki matriks circulant adalah bahwa inversnya juga berupa circulant. Entri-entri matriks circulant dapat menggunakan entri berbagai bilangan, salah satunya adalah bilangan Pell. Pada karya ilmiah ini, determinan dan invers matriks circulant dengan entri bilangan Pell diformulasikan. Pembuktian formulasi determinan matriks circulant dengan entri bilangan Pell dilakukan berdasarkan serangkaian operasi baris dasar sehingga diperoleh mariks segitiga atas. Sedangkan pembuktian formulasi inversnya berlandaskan sifat-sifat ekuivalensi dari hasil kombinasi operasi baris dasar atau operasi kolom dasar. A circulant matrix is a matrix whose entries are shifted one column to the right in sequence, so to find out all the entries can be seen only from the first column. One of the properties of a circulant matrix is that its inverse is also a circulant. Circulant matrix entries can use entries of various numbers, one of which is Pell's number. In this scientific paper, the determinant and the inverse of the circulant matrix with Pell number entries formulated. Proof of the determinant formulation matrix circulant with Pell number entries performed based on a series of base row operations so that the upper triangular matrix is obtained. While the proof of the inverse formulation based on the equivalence properties of the result combination of base row operations or base column operations. |
URI: | http://repository.ipb.ac.id/handle/123456789/108765 |
Appears in Collections: | UT - Mathematics |
Files in This Item:
File | Description | Size | Format | |
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Cover, Lembar Pengesahan, Prakata, Daftar Isi.pdf Restricted Access | Cover | 850.91 kB | Adobe PDF | View/Open |
G54170009_Nadia Alfiana.pdf Restricted Access | Fullteks | 1.19 MB | Adobe PDF | View/Open |
Lampiran.pdf Restricted Access | Lampiran | 487.55 kB | Adobe PDF | View/Open |
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