ARIFAH, NUR (2009) AKAR ke-m DARI MATRIKS KOMPLEKS NON SINGULAR. Other thesis, University of Muhammadiyah Malang.
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Abstract
One of a problem in matrix is how to find the m-th roots of non-singular complex matrix. To solve the problem, there are some steps regording to eigen value and vector from a matrix. Asumed that polinomil matrix P( λ) = In λm – A, where In is matrix identity from order n and λ is a variabel complex. A matrix B ∈ Mn is the m—th roots from A if and only if P(B) =Bm-A=0. As a result, problem from the m-th roots from A is highly related with spectral analysis from ) ( λ Ρ If an n x n complex matrix A is non-singular, then for every integer m > 1, A has an m-th root B.i.e., Bm = A, we can construct m-th roots of A the form 1 ) ( − Α Ρ Α Υ Υ = Β λ J ,where YA is Jordan Chain of P( λ).
| Item Type: | Thesis (Other) |
|---|---|
| Subjects: | L Education > L Education (General) |
| Divisions: | Faculty of Teacher Training and Education > Department of Mathematics Education (84202) |
| Depositing User: | Anwar Jasin |
| Date Deposited: | 21 Mar 2012 15:36 |
| Last Modified: | 21 Mar 2012 15:36 |
| URI : | http://eprints.umm.ac.id/id/eprint/887 |
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