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Tyy posted an Question
November 04, 2021 • 17:20 pm 30 points
  • IIT JAM
  • Mathematics (MA)

Let m,(k) denote the space of all nxn matrices with entries from afield k. fix a non-singular matrix a=(4;) €m,(k) and the consider linear map t:m,(k)>m,(k) giv

Let M,(K) denote the space of all nxn matrices with entries from afield K. Fix a non-singular matrix A=(4;) €M,(K) and the consider linear map T:M,(K)>M,(K) given by: T(X)= AX. Then (a.) Trace (T)=n2jdi (b.) Trace (T)=Zi 24 (c.) Rank of T is n (d.) T is non-singular

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  • Anonymous User best-answer

    check attachment

    cropped3486522249547110310.jpg
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    sir what about option A and C... in answer they r also given correct.. so how can we go for option A and C

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    trace of T = sum of Aii

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