Abstract
For given matrices A , B , C , and D of appropriate sizes, a criterion for the range of the product AB − C to be a subspace of the range of D irrespective of the choice of a generalized inverse B − of B is established. This result is crucial in a new approach to the concept of the strong unified-least-squares matrix, which plays an essential role in the theory of estimation in the general Gauss–Markov model.
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