ALGORITMA POLINOMIAL MINIMUM UNTUK MEMBENTUK MATRIKS DIAGONAL DARI MATRIKS PERSEGI
In mathematics, matrices have many uses, they are finding solutions of a linear equation system, looking for specific solutions of differential equations, determining state classification on Markov chains, and so on. There is a special matrix in matrix theory, that is a diagonal matrix. The diagonal...
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| Format: | Article |
| Language: | Indonesian |
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Universitas Muhammadiyah Metro
2017-12-01
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| Series: | Aksioma: Jurnal Program Studi Pendidikan Matematika |
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| Online Access: | http://ojs.fkip.ummetro.ac.id/index.php/matematika/article/view/978 |
| _version_ | 1818508164915527680 |
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| author | Himmatul Mursyidah |
| author_facet | Himmatul Mursyidah |
| author_sort | Himmatul Mursyidah |
| collection | DOAJ |
| description | In mathematics, matrices have many uses, they are finding solutions of a linear equation system, looking for specific solutions of differential equations, determining state classification on Markov chains, and so on. There is a special matrix in matrix theory, that is a diagonal matrix. The diagonal matrix is a matrix whose all non-diagonal entries are primarily zero so that the product of the diagonal matrix can be computed by considering only the components along the main diagonal. A square matrix can sometimes be formed into a diagonal matrix. If a non-diagonal square matrix A can be conjugated with a diagonal matrix, then there is an invertible matrix P so PAP-1=D, where D is a diagonal matrix and P is said to diagonalize A. To find a square matrix diagonalizable or not, many researchers usually use eigenvalues and eigenvectors evaluation. In this study, we discuss that the other way to form a diagonal matrix by using Minimum Polynomial Algorithm. |
| first_indexed | 2024-12-10T22:27:57Z |
| format | Article |
| id | doaj.art-352e3c4a31314da28eb3b5bbad59e343 |
| institution | Directory Open Access Journal |
| issn | 2089-8703 2442-5419 |
| language | Indonesian |
| last_indexed | 2024-12-10T22:27:57Z |
| publishDate | 2017-12-01 |
| publisher | Universitas Muhammadiyah Metro |
| record_format | Article |
| series | Aksioma: Jurnal Program Studi Pendidikan Matematika |
| spelling | doaj.art-352e3c4a31314da28eb3b5bbad59e3432022-12-22T01:31:07ZindUniversitas Muhammadiyah MetroAksioma: Jurnal Program Studi Pendidikan Matematika2089-87032442-54192017-12-016228229310.24127/ajpm.v6i2.978808ALGORITMA POLINOMIAL MINIMUM UNTUK MEMBENTUK MATRIKS DIAGONAL DARI MATRIKS PERSEGIHimmatul Mursyidah0Universitas Muhammadiyah SurabayaIn mathematics, matrices have many uses, they are finding solutions of a linear equation system, looking for specific solutions of differential equations, determining state classification on Markov chains, and so on. There is a special matrix in matrix theory, that is a diagonal matrix. The diagonal matrix is a matrix whose all non-diagonal entries are primarily zero so that the product of the diagonal matrix can be computed by considering only the components along the main diagonal. A square matrix can sometimes be formed into a diagonal matrix. If a non-diagonal square matrix A can be conjugated with a diagonal matrix, then there is an invertible matrix P so PAP-1=D, where D is a diagonal matrix and P is said to diagonalize A. To find a square matrix diagonalizable or not, many researchers usually use eigenvalues and eigenvectors evaluation. In this study, we discuss that the other way to form a diagonal matrix by using Minimum Polynomial Algorithm.http://ojs.fkip.ummetro.ac.id/index.php/matematika/article/view/978diagonal matrixmatricesminimum polynomial |
| spellingShingle | Himmatul Mursyidah ALGORITMA POLINOMIAL MINIMUM UNTUK MEMBENTUK MATRIKS DIAGONAL DARI MATRIKS PERSEGI Aksioma: Jurnal Program Studi Pendidikan Matematika diagonal matrix matrices minimum polynomial |
| title | ALGORITMA POLINOMIAL MINIMUM UNTUK MEMBENTUK MATRIKS DIAGONAL DARI MATRIKS PERSEGI |
| title_full | ALGORITMA POLINOMIAL MINIMUM UNTUK MEMBENTUK MATRIKS DIAGONAL DARI MATRIKS PERSEGI |
| title_fullStr | ALGORITMA POLINOMIAL MINIMUM UNTUK MEMBENTUK MATRIKS DIAGONAL DARI MATRIKS PERSEGI |
| title_full_unstemmed | ALGORITMA POLINOMIAL MINIMUM UNTUK MEMBENTUK MATRIKS DIAGONAL DARI MATRIKS PERSEGI |
| title_short | ALGORITMA POLINOMIAL MINIMUM UNTUK MEMBENTUK MATRIKS DIAGONAL DARI MATRIKS PERSEGI |
| title_sort | algoritma polinomial minimum untuk membentuk matriks diagonal dari matriks persegi |
| topic | diagonal matrix matrices minimum polynomial |
| url | http://ojs.fkip.ummetro.ac.id/index.php/matematika/article/view/978 |
| work_keys_str_mv | AT himmatulmursyidah algoritmapolinomialminimumuntukmembentukmatriksdiagonaldarimatrikspersegi |