This work studies the NullSpace-Rank decomposition, simplifying matrix analysis and computations.
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].
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Fernando Pablos Romo (2026) studied this question.
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