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Generalized algebraic complement and Moore-Penrose inverse. (English) Zbl 0826.15003
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.
Reviewer: L.Berg (Rostock)

##### MSC:
 15A09 Theory of matrix inversion and generalized inverses 15A06 Linear equations (linear algebraic aspects) 65F20 Numerical solutions to overdetermined systems, pseudoinverses