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Sudhanshu ranjan Asked a Question
August 28, 2020 11:38 pmpts 30 pts
  • 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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  • Anonymous User Best Answer
    see the attachments
    • cropped5197730333623384839.jpg
    • cropped3404646146035716995.jpg
    • cropped5975220211699561503.jpg
    • cropped9039622623408295991.jpg
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  • Anonymous User thankyou
    The set of all n ×n nilpotent matrices forms a vector subspace of V iff n= 1
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