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Sudhanshu ranjan Asked a Question
August 23, 2020 11:01 pmpts 30 pts
  • CSIR NET
  • Mathematical Sciences

Do there exists any vector space v such that one linear operator on v has a minimal polynomial while other hasn't ? give proper explaination

Do there exists any vector space V such that one linear operator on V has a minimal polynomial while other hasn't ? Give proper explaination
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  • Shashi ranjan sinha Best Answer
    see the attachments for proof
    • cropped7143107458505424427.jpg
    • cropped5696407958019800552.jpg
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  • Shashi ranjan sinha thankyou
    Yes... There do such vector space. consider the vector space V = R[x] and two linear operators on it, first differential operator and second identity operator. Differential operato...
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