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- Title
An Analog of the Adjugate Matrix for the Outer Inverse A<sub>T,S</sub><sup>(2)</sup>.
- Authors
Xiaoji Liu; Guangyan Zhu; Guangping Zhou; Yaoming Yu
- Abstract
We investigate the determinantal representation by exploiting the limiting expression for the generalized inverse AT,S(2). We show the equivalent relationship between the existence and limiting expression of AT,S(2) and some limiting processes of matrices and deduce the new determinantal representations of AT,S(2), based on some analog of the classical adjoint matrix. Using the analog of the classical adjoint matrix, we present Cramer rules for the restricted matrix equation AXB D, R (X) ⊂ T, ...(X) ⊃ ͌.
- Subjects
MATRICES (Mathematics); RULES; BY-laws; EMPLOYEE rules; GUIDELINES
- Publication
Mathematical Problems in Engineering, 2012, Vol 2012, p1
- ISSN
1024-123X
- Publication type
Article
- DOI
10.1155/2012/591256