- Communications Faculty of Sciences University Ankara Series A2-A3 Physical and Engineering
- Vol: 23
- On the Space of Matrices fi (A)
On the Space of Matrices fi (A)
Authors : E. Kaya
Pages : 0-0
Doi:10.1501/commua1-2_0000000014
View : 4 | Download : 1
Publication Date : 1974-01-01
Article Type : Research
Abstract :In this article A will be a fixed n x n m atrix andxF (x) its m inim al polynom ial of degree m. The set of m atrices fj. (A), where f* (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^(A), where (fi ( x ) ,T (x)) - 1 and ff (x) = r. (x) (m o d Y (x) ) is a com m utative group under m atrix m ultiplication w hich is isom orphic to the group of polynom ials r^ (x) under m ultiplication modT* (x). W e also characterize properties of the m atrices f^ (A) in term s of properties of the polynom ials T (x).Keywords : space, matrices, mathematics