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About Discussing the Solutions of Matrix Equation by Means of SVD Method

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Abstract

In the paper,we give the sufficient and necessary condition for the matrix equations AX=C and AXB=C consistent and we also give their structure of the solutions by means of singular value decomposition(SVD)method.To some matrix equations,we can easily to solute them by SVD method.

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What this paper is about

In the paper,we give the sufficient and necessary condition for the matrix equations AX=C and AXB=C consistent and we also give their structure of the solutions by means of singular value decomposition(SVD)method.To some matrix equations,we can easily to solute them by SVD method.

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Available abstract

In the paper,we give the sufficient and necessary condition for the matrix equations AX=C and AXB=C consistent and we also give their structure of the solutions by means of singular value decomposition(SVD)method.To some matrix equations,we can easily to solute them by SVD method.

Key concepts: Singular value decomposition, Matrix (chemical analysis), Mathematics, Applied mathematics, Value (mathematics), Decomposition, Singular value, Matrix decomposition

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