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If λ is a non zero eigenvalue of a linear operator T, then the following statement is correct:
  • a)
    λ" is an eigenvalue of Tn for n > 1.
  • b)
    λ-1 is an eigenvalue of T-2.
  • c)
    f(λ) is an eigenvalue of f (T-1) for any polynomial f(t).
  • d)
    None of the above.
Correct answer is option 'A'. Can you explain this answer?
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If λ is a non zero eigenvalue of a linear operator T, then the following statement iscorrect:a)λ" is an eigenvalue of Tn for n > 1.b)λ-1 is an eigenvalue of T-2.c)f(λ) is an eigenvalue of f (T-1) for any polynomial f(t).d)None of the above.Correct answer is option 'A'. Can you explain this answer?
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If λ is a non zero eigenvalue of a linear operator T, then the following statement iscorrect:a)λ" is an eigenvalue of Tn for n > 1.b)λ-1 is an eigenvalue of T-2.c)f(λ) is an eigenvalue of f (T-1) for any polynomial f(t).d)None of the above.Correct answer is option 'A'. Can you explain this answer? for IIT JAM 2024 is part of IIT JAM preparation. The Question and answers have been prepared according to the IIT JAM exam syllabus. Information about If λ is a non zero eigenvalue of a linear operator T, then the following statement iscorrect:a)λ" is an eigenvalue of Tn for n > 1.b)λ-1 is an eigenvalue of T-2.c)f(λ) is an eigenvalue of f (T-1) for any polynomial f(t).d)None of the above.Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for IIT JAM 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If λ is a non zero eigenvalue of a linear operator T, then the following statement iscorrect:a)λ" is an eigenvalue of Tn for n > 1.b)λ-1 is an eigenvalue of T-2.c)f(λ) is an eigenvalue of f (T-1) for any polynomial f(t).d)None of the above.Correct answer is option 'A'. Can you explain this answer?.
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