The image of the adjoint mapping (Q1307531)
From MaRDI portal
| This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: The image of the adjoint mapping |
scientific article; zbMATH DE number 1355323
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The image of the adjoint mapping |
scientific article; zbMATH DE number 1355323 |
Statements
The image of the adjoint mapping (English)
0 references
19 December 1999
0 references
Conditions are derived for the inner inverse of a matrix \(A\) to be in the image of \(A^*\) (the adjoint mapping of \(A)\). These conditions include the rank of \(A\) and the ideal \(I\) of a commutative ring generated by the \(r\times r\) minors of \(A\).
0 references
matrix inversion
0 references
inner inverse
0 references
adjoint mapping
0 references
rank
0 references