Theorema cayley-hamilton pada matriks atas ring komunikatif

Zulaili , Khamisna (2003) Theorema cayley-hamilton pada matriks atas ring komunikatif. Undergraduate thesis, FMIPA UNDIP.

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Abstract

Diberikan Mnxn(RIXD himpunan matriks dengan elemen-elemennya dal6m polinomial R/X/ dan (Mm,„(R))1XJ himpunan polinomial dalam X dengan koefisien dari matriks Mnrn(R). Ring Mian(R/XJ) dan ring (A4'nxn(R))./XJ ism-1.1°ra rnelalui pernetaan v(A), AJX ,A E M„,,(RIXJ). 1=0 Diberikan A E M.(1?). Polinornial karakteristik dari A, ditulis CAM, didefinisikan sebagai C(X) = det (Xf„ —A,). Dalam theorema Cayley Hamilton disebutkan bahwa untuk setiap matriks A, CA(A) = 0. Let maq-xj) be the set of matrix with entries in polynomials R [Xj and (Mnx„(R))[X] be the set of polynomials in Xwith coefficients from matrix M,,,,,(R). The rings Mnxn(R/XJ) and (Ainx,i(R))[XJ are isomorphic via the map w(A)=±AiXP-j , A E

Item Type:Thesis (Undergraduate)
Subjects:Q Science > QA Mathematics
Divisions:Faculty of Science and Mathematics > Department of Mathematics
ID Code:31602
Deposited By:Mr UPT Perpus 1
Deposited On:23 Nov 2011 14:02
Last Modified:23 Nov 2011 14:02

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