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The generalization of some properties of universal matrices

Jan Hauke; Jolanta Krzyszkowska — 1991

Mathematica Applicanda

We consider an k x k universal matrix G introduced by Hellwig (1976). We analyze two problems: the nonsingularity of the matrix G and the sign-consistency of the elements of the vector r = (ri) and of the solutrion b = (bi) to the system Gb = r. Obtained results generalize the results presented by Kolupa (1977, 1980).

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