profile-img
Sudhanshu Ranjan posted an Question
August 24, 2020 • 04:31 am 30 points
  • 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

2 Answer(s) Answer Now
  • 0 Likes
  • 2 Comments
  • 0 Shares
  • Shashi ranjan sinha best-answer

    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 operator has no Minimal polynomial while identity operator has.

whatsapp-btn

Do You Want Better RANK in Your Exam?

Start Your Preparations with Eduncle’s FREE Study Material

  • Updated Syllabus, Paper Pattern & Full Exam Details
  • Sample Theory of Most Important Topic
  • Model Test Paper with Detailed Solutions
  • Last 5 Years Question Papers & Answers