Finding All Solutions of a Linear Matrix Equation by Elementary Row Operations
Weixin Han
Abstract
Weixin Han
Abstract
In this paper, first a new concept on a general solution matrix is introduced, then the method of finding all solutions of the linear matrix equation A m×nX n×s=B m×s by elementary row operations is given.
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In this paper, first a new concept on a general solution matrix is introduced, then the method of finding all solutions of the linear matrix equation A m×nX n×s=B m×s by elementary row operations is given.
Key concepts: Mathematics, Elementary matrix, Matrix (chemical analysis), Augmented matrix, Algebra over a field, Linear equation, Elementary theory, Applied mathematics