On the Space of Matrices fi (A)

Authors : E KAYA

Pages : 0-0

Doi:10.1501/commua1-2_0000000014

View : 31 | Download : 6

Publication Date : 1974-01-01

Article Type : Research Paper

Abstract :In this article A will be a fixed n x n m atrix andxF insert ignore into journalissuearticles values(x); its m inim al polynom ial of degree m. The set of m atrices fj. insert ignore into journalissuearticles values(A);, where f* insert ignore into journalissuearticles values(A); is a polynom ial, is an m-dimensional subspace of th e n 2 -dim ensional space of ali n x n m atrices [1]. The set of m atrices r^insert ignore into journalissuearticles values(A);, where insert ignore into journalissuearticles values(fi insert ignore into journalissuearticles values( x ); ,T insert ignore into journalissuearticles values(x);); - 1 and ff insert ignore into journalissuearticles values(x); = r. insert ignore into journalissuearticles values(x); insert ignore into journalissuearticles values(m o d Y insert ignore into journalissuearticles values(x); ); is a com m utative group under m atrix m ultiplication w hich is isom orphic to the group of polynom ials r^ insert ignore into journalissuearticles values(x); under m ultiplication modT* insert ignore into journalissuearticles values(x);. W e also characterize properties of the m atrices f^ insert ignore into journalissuearticles values(A); in term s of properties of the polynom ials T insert ignore into journalissuearticles values(x);.
Keywords : space, matrices, mathematics

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