R\" be a linear transformation. Which of the f\u00F6llowing statements implies that T is bijective? (a.) Nullity (T) =n (b.) Rank (T) = Nullity (T) =n (c.) Rank (7) + Nullity"> r\" be a linear transformation. which of the f\u00f6llowing statements">
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Deepak Patra posted an Question
January 04, 2022 • 18:09 pm 30 points
  • IIT JAM
  • Mathematics (MA)

Let t:r">r" be a linear transformation. which of the föllowing statements implies that t is bijective? (a.) nullity (t) =n (b.) rank (t) = nullity (t) =n (c.) r

Let T:R">R" be a linear transformation. Which of the föllowing statements implies that T is bijective? (a.) Nullity (T) =n (b.) Rank (T) = Nullity (T) =n (c.) Rank (7) + Nullity (T) =n (d.) Rank (T) - Nuility.(T) =n

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    Piyush pachauri Best Answer

    Option D is correct because this is the only option which implies rank is n and nullity is 0. for option c ,you can take rank 0 and nullity n. options A and B are clearly incorrect.

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