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Let be the linear map satisfying T(e1) = e2, T(e2) = e3, T(e3) = 0. T(e4) = e3 where {e1, e2, e3, e4} is the standard basis of  Then
  • a)
    T is idempotent
  • b)
    T is invertible
  • c)
    RankT = e
  • d)
    T is nilpotent
Correct answer is option 'A'. Can you explain this answer?
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Let be the linear map satisfying T(e1) = e2, T(e2) = e3, T(e3) = 0. T(...
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Let be the linear map satisfying T(e1) = e2, T(e2) = e3, T(e3) = 0. T(e4) = e3 where {e1, e2, e3, e4} is the standard basis of Thena)T is idempotentb)T is invertiblec)RankT = ed)T is nilpotentCorrect answer is option 'A'. Can you explain this answer?
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Let be the linear map satisfying T(e1) = e2, T(e2) = e3, T(e3) = 0. T(e4) = e3 where {e1, e2, e3, e4} is the standard basis of Thena)T is idempotentb)T is invertiblec)RankT = ed)T is nilpotentCorrect 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 be the linear map satisfying T(e1) = e2, T(e2) = e3, T(e3) = 0. T(e4) = e3 where {e1, e2, e3, e4} is the standard basis of Thena)T is idempotentb)T is invertiblec)RankT = ed)T is nilpotentCorrect 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 be the linear map satisfying T(e1) = e2, T(e2) = e3, T(e3) = 0. T(e4) = e3 where {e1, e2, e3, e4} is the standard basis of Thena)T is idempotentb)T is invertiblec)RankT = ed)T is nilpotentCorrect answer is option 'A'. Can you explain this answer?.
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