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​Let V be a vector space and T is a linear operator on V. If W is a subspace of V, then W is invariant under T iff α ∈ T implies
  • a)
    T(α) = 0
  • b)
    T(α) ∈ W
  • c)
    T (α) = (α)
  • d)
    None of these
Correct answer is option 'B'. Can you explain this answer?
Most Upvoted Answer
Let V be a vector space and T is a linear operator on V. If W is a sub...
For every vector w in W, T(w) is also in W.
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Let V be a vector space and T is a linear operator on V. If W is a subspace of V, then W is invariant under T iff α ∈ T impliesa)T(α) = 0b)T(α) ∈ Wc)T (α) = (α)d)None of theseCorrect answer is option 'B'. Can you explain this answer?
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Let V be a vector space and T is a linear operator on V. If W is a subspace of V, then W is invariant under T iff α ∈ T impliesa)T(α) = 0b)T(α) ∈ Wc)T (α) = (α)d)None of theseCorrect answer is option 'B'. 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 V be a vector space and T is a linear operator on V. If W is a subspace of V, then W is invariant under T iff α ∈ T impliesa)T(α) = 0b)T(α) ∈ Wc)T (α) = (α)d)None of theseCorrect answer is option 'B'. 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 V be a vector space and T is a linear operator on V. If W is a subspace of V, then W is invariant under T iff α ∈ T impliesa)T(α) = 0b)T(α) ∈ Wc)T (α) = (α)d)None of theseCorrect answer is option 'B'. Can you explain this answer?.
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