Anku posted an Question
May 09, 2021 • 04:50 am 30 points
  • IIT JAM
  • Mathematics (MA)

Is my reasoning correct for option b ...pls once tell

is my reasoning correct for option b ...pls once tell.. . . .. .

3 Answer(s) Answer Now
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    Gattu uday best-answer

    we get the rows 0 1 0 0 , 0 0 1 0 , 0 0 0 0 , 0 0 0 1 but we take any 3×3 matrix to take det

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    Gattu uday best-answer

    Clearly T(e3)= 0 soo T can't be Onto nd one one hence it can't be Invertible ☺️ by observing range values T can't be idempotent, nilpotent but it's rank is 3 bcoz we get 3 non zero rows of we form a matrix for T ☺️

  • Alka gupta Best Answer

    yes, absolutely correct rank(T)=2 and nullity =2 hence T is not one-one so T is not invertible.

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