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Generalization of Roth′s Theorem
Received:July 27, 1993
Key Words
:
skew field
matrix equation
generalized inverse of matrix.
Fund Project
:
Author Name
Affiliation
Wang Qingwen
Dept. of Math.
Changwei Teachers′ College
Weifang 261043
Yang Changlan
Dept. of Math. & Science
Shandong Industry Univ.
Ji′nan 250014
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Abstract
:
In this paper, two necessary and sufficient conditions are established for solvability of the matrix equation A
m×s
X - YB
t×n
= C
m×n
over an arbitrary skew field.The expression of the gneral solution of the equation is also found.
Citation:
DOI
:
10.3770/j.issn:1000-341X.1996.01.007
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