Rank-k-preservers and preservers of sets of ranks |
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Authors: | LeRoy B Beasley |
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Institution: | Utah State University Logan, Utah 84322, USA |
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Abstract: | Let T be a linear transformation on the set of m × n matrices with entries in an algebraically closed field. If T maps the set of all matrices whose rank is k into itself, and if, then the rank of A is the rank of T(A) for every m × n matrix. |
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