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On the conjecture of Konieczny. I - MaRDI portal

On the conjecture of Konieczny. I (Q1345740)

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scientific article; zbMATH DE number 733182
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On the conjecture of Konieczny. I
scientific article; zbMATH DE number 733182

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    On the conjecture of Konieczny. I (English)
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    4 October 1995
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    It is shown that restricted to the class of non-normal matrices (those whose row and column ranks are different), Konieczny's conjecture that for each \(n\) in \([1, 2^{n-1}]\) a matrix \(A\) exists in \(B_ n\) having this integer as the size of its row space does not hold. But they show for \(n\) at most 6, the original Konieczny conjecture holds.
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    non-normal matrices
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    Konieczny's conjecture
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