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Deepak patra Asked a Question
January 4, 2022 5:58 pmpts 30 pts
5. Let M,(K) denote the space of all nxn matrices with entries from afield K. Fix a non-singular matrix A= (4) e M,(K) and map consider the linear T:M,(K) -M,(K) given by: T(X) = AX. Then (a.) Trace (T)=n2iAu Aij b.) Trace (T)=Zi2ji A .(c.) Rank of T is n (d.) T is non-singular
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  • Navdeep goyal 1 thankyou
    D check attachment
    • cropped7178961238365944005.jpg
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    Deepak patra
    sir c can also be the ans ... as T is non singular dimension of A is n²
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