The aim of this work is to study the applications of the NullSpace-Rank decomposition of an arbitrary matrix Formula: see text with entries in Formula: see text or Formula: see text. This decomposition simplifies the Singular Value decomposition, its computation is non-difficult and from it we determine the structure of the sets Formula: see text and Formula: see text and we can easily calculate the Moore-Penrose inverse Formula: see text.
Fernando Pablos Romo (Fri,) studied this question.