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Covariant differential calculi on a quantum n-space with invariance under the action of $$GL_{r,s}(n)$$ GLr,s(n) are constructed in the two cases of noncommutativity and commutativity of the coordinates with the matrix entries of the two-parametric quantum group. We show that the noncommutative parameters of the quantum n-space have to satisfy some relations in terms of s without specifying their...