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Zbl 0826.15003
Stanimirović, P.; Stanković, M.
Generalized algebraic complement and Moore-Penrose inverse. (English)
[J] Filomat 8, 57-64 (1994). ISSN 0354-5180

New proofs are given for the well-known determinant representation of the Moore-Penrose inverse of a complex matrix and the Moore-Penrose solution of a linear system. The first result is generalized to the $\{1,2,3\}$, $\{1,2,4\}$ and $\{1,2\}$ inverses, respectively.
[L.Berg (Rostock)]

MSC 2000:: *15A09 Matrix inversion
15A06 Linear equations (linear algebra)
65F20 Overdetermined systems (numerical linear algebra)

Keywords: generalized algebraic complement; determinant representation; Moore- Penrose inverse; complex matrix; Moore-Penrose solution

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