Mathematics Exam  >  Mathematics Questions  >  Let T be a linear operator on a finite dimens... Start Learning for Free
Let T be a linear operator on a finite dimensional vector space V. If m(λ) = λr + ar-1λr-1 + ..... + a0λ be a minimal polynomial of T then 
  • a)
    T is singular.
  • b)
    T is non-singular
  • c)
    T is invertible
  • d)
    0 is not root of m (λ)
Correct answer is option 'A'. Can you explain this answer?
Most Upvoted Answer
Let T be a linear operator on a finite dimensional vector space V. If ...
T) is the minimal polynomial of T and p(x) is a polynomial such that p(T) = 0, then the degree of p(x) is at least the degree of m(x).
Explore Courses for Mathematics exam
Let T be a linear operator on a finite dimensional vector space V. If m(λ) = λr + ar-1λr-1 + ..... + a0λ be a minimal polynomial of T thena)T is singular.b)T is non-singularc)T is invertibled)0 is not root of m (λ)Correct answer is option 'A'. Can you explain this answer?
Question Description
Let T be a linear operator on a finite dimensional vector space V. If m(λ) = λr + ar-1λr-1 + ..... + a0λ be a minimal polynomial of T thena)T is singular.b)T is non-singularc)T is invertibled)0 is not root of m (λ)Correct answer is option 'A'. Can you explain this answer? for Mathematics 2024 is part of Mathematics preparation. The Question and answers have been prepared according to the Mathematics exam syllabus. Information about Let T be a linear operator on a finite dimensional vector space V. If m(λ) = λr + ar-1λr-1 + ..... + a0λ be a minimal polynomial of T thena)T is singular.b)T is non-singularc)T is invertibled)0 is not root of m (λ)Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for Mathematics 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Let T be a linear operator on a finite dimensional vector space V. If m(λ) = λr + ar-1λr-1 + ..... + a0λ be a minimal polynomial of T thena)T is singular.b)T is non-singularc)T is invertibled)0 is not root of m (λ)Correct answer is option 'A'. Can you explain this answer?.
Solutions for Let T be a linear operator on a finite dimensional vector space V. If m(λ) = λr + ar-1λr-1 + ..... + a0λ be a minimal polynomial of T thena)T is singular.b)T is non-singularc)T is invertibled)0 is not root of m (λ)Correct answer is option 'A'. Can you explain this answer? in English & in Hindi are available as part of our courses for Mathematics. Download more important topics, notes, lectures and mock test series for Mathematics Exam by signing up for free.
Here you can find the meaning of Let T be a linear operator on a finite dimensional vector space V. If m(λ) = λr + ar-1λr-1 + ..... + a0λ be a minimal polynomial of T thena)T is singular.b)T is non-singularc)T is invertibled)0 is not root of m (λ)Correct answer is option 'A'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of Let T be a linear operator on a finite dimensional vector space V. If m(λ) = λr + ar-1λr-1 + ..... + a0λ be a minimal polynomial of T thena)T is singular.b)T is non-singularc)T is invertibled)0 is not root of m (λ)Correct answer is option 'A'. Can you explain this answer?, a detailed solution for Let T be a linear operator on a finite dimensional vector space V. If m(λ) = λr + ar-1λr-1 + ..... + a0λ be a minimal polynomial of T thena)T is singular.b)T is non-singularc)T is invertibled)0 is not root of m (λ)Correct answer is option 'A'. Can you explain this answer? has been provided alongside types of Let T be a linear operator on a finite dimensional vector space V. If m(λ) = λr + ar-1λr-1 + ..... + a0λ be a minimal polynomial of T thena)T is singular.b)T is non-singularc)T is invertibled)0 is not root of m (λ)Correct answer is option 'A'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice Let T be a linear operator on a finite dimensional vector space V. If m(λ) = λr + ar-1λr-1 + ..... + a0λ be a minimal polynomial of T thena)T is singular.b)T is non-singularc)T is invertibled)0 is not root of m (λ)Correct answer is option 'A'. Can you explain this answer? tests, examples and also practice Mathematics tests.
Explore Courses for Mathematics exam
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