IIT JAM Exam  >  IIT JAM Questions  >  If λ is a non zero eigenvalue of a lin... Start Learning for Free
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?
Most Upvoted Answer
If λ is a non zero eigenvalue of a linear operator T, then the ...
If I were a bird, I would fly high in the sky and explore different places. I would enjoy the freedom of soaring through the air and seeing the world from a different perspective. I would visit beautiful landscapes, fly over oceans, and discover hidden treasures. I would also use my ability to fly to escape from any danger or to reach places that are otherwise difficult to access. Overall, being a bird would be a thrilling and adventurous experience.
Explore Courses for IIT JAM exam
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?
Question Description
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?.
Solutions 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? in English & in Hindi are available as part of our courses for IIT JAM. Download more important topics, notes, lectures and mock test series for IIT JAM Exam by signing up for free.
Here you can find the meaning of 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? defined & explained in the simplest way possible. Besides giving the explanation of 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?, a detailed solution 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? has been provided alongside types of 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? theory, EduRev gives you an ample number of questions to practice 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? tests, examples and also practice IIT JAM tests.
Explore Courses for IIT JAM exam

Suggested Free Tests

Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
10M+ students study on EduRev