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Linear spaces of real matrices of large rank

  • Elmer G. Rees (a1)


For every k1 0 < k < mn, there are linear spaces of real n × m matrices which have dimension (mk)(nk) and every nonzero element has rank greater than k. Examples of such spaces are constructed and conditions are given under which they have the largest possible dimension.



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Linear spaces of real matrices of large rank

  • Elmer G. Rees (a1)


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