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Sudhanshu Ranjan posted an Question
August 29, 2020 • 05:08 am 30 points
  • CSIR NET
  • Mathematical Sciences

Let v be the vector space of all n×n matrices over r, where n is a positive integer. determine whether the subset of v consisting of all n×n nilpotent matrices

Let V be the vector space of all n×n matrices over R, where n is a positive integer. Determine whether the subset of V consisting of all n×n nilpotent matrices forms a subspace of V or not?

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  • Shashi ranjan sinha best-answer

    The set of all n ×n nilpotent matrices forms a vector subspace of V iff n= 1

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