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On Solutions of the Matrix Equation A
m×n
X
n×s
=B
m×s
over a Skew Field
Received:June 09, 1992
Revised:February 24, 1994
Key Words
:
skew field
matrix equation
basic solution matrix.
Fund Project
:
Author Name
Affiliation
Wang Qingwen
Dept. of Math
Changwei Teacher College
Weifang 261043
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:
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:
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Abstract
:
For the matix equation A
m×n
X
n×s
=B
m×s
(1)over an arbitrary skew field F. We give a consistency criterion and a practical simplemethod for solving(1). An explicit expression of general solutions of(1)is also derived.
Citation:
DOI
:
10.3770/j.issn:1000-341X.1995.02.017
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