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Spaces of symmetric matrices containing a nonzero matrix of bounded rank

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Publication:1301315
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DOI10.1016/S0024-3795(98)10185-4zbMath0939.15009MaRDI QIDQ1301315

Raphael Loewy, Shmuel Friedland

Publication date: 2 July 2000

Published in: Linear Algebra and its Applications (Search for Journal in Brave)


zbMATH Keywords

symmetric matrixrank of matrixRadon-Hurwitz numbermatrix of bounded rankspaces of symmetric matrices


Mathematics Subject Classification ID

Algebraic systems of matrices (15A30) Vector spaces, linear dependence, rank, lineability (15A03)


Related Items (2)

Generalizations of the odd degree theorem and applications ⋮ Two Results on the Size of Spectrahedral Descriptions



Cites Work

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  • On symmetric and skew-symmetric determinantal varieties
  • On spaces of matrices containing a nonzero matrix of bounded rank.
  • Rank preservers on spaces of symmetric matrices
  • On the crossing rule
  • On Matrices Whose Real Linear Combinations are Nonsingular
  • An exact sequence in differential topology
  • Vector fields on spheres


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