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Discussion :: GATE Mathematics

  1. Let V be a vector space of dimension m≥2. Let T:V → V be a linear transformation such that T<n+1 = 0 and T<n ≠ 0 for some n≥1. Then which of the following is necessarily TRUE?
  2. A.
    Rank (Tn)≤ Nullity (Tn)
    B.
    trace (T)≠0
    C.
    T is diagonalizable
    D.
    n=m

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    Answer : Option A

    Explanation :

    -NA-


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