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specialnlovin
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Let V =Mn(k),n>1 and T:V→V defined by T(M)=Mt (transpose of M).
i) Find the minimal polynomial of T. Is T diagonalisable when k = R,C,F2?
ii) Suppose k = R. Find the characteristic polynomial chT .
I know that T2=T(Mt))=M and that has got to help me find the minimal polynomial
i) Find the minimal polynomial of T. Is T diagonalisable when k = R,C,F2?
ii) Suppose k = R. Find the characteristic polynomial chT .
I know that T2=T(Mt))=M and that has got to help me find the minimal polynomial