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Sudhanshu Ranjan posted an Question
August 15, 2020 • 18:12 pm
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30 points
30 points
- CSIR NET
- Mathematical Sciences
Give an example of a linear operator t on a vector space v such that t conductor of each vector in v exists but minimal polynomial of t doesn't exist?
Give an example of a linear operator T on a vector space V such that T conductor of each vector in V exists but minimal polynomial of T doesn't exist?
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Shashi ranjan sinha![best-answer]()
one thing u should note down that the T- conductor of each vector (in V) into an invariant subspace W always exist because zero polynomial belongs is always there . But the question mainly arises that whether there is any non zero polynomial in the T-conductor set