K. C. Sivakumar
Abstract
In this article we show that, contrary to finite matrices (with real or complex entries) an invertible infinite matrix V could have a Moore–Penrose inverse that is not a classical inverse of V. This also answers a recent open problem on infinite matrices.
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In this article we show that, contrary to finite matrices (with real or complex entries) an invertible infinite matrix V could have a Moore–Penrose inverse that is not a classical inverse of V. This also answers a recent open problem on infinite matrices.
Key concepts: Invertible matrix, Moore–Penrose pseudoinverse, Mathematics, Inverse, Matrix (chemical analysis), Pure mathematics, Generalized inverse, Algebra over a field