- #1

- 19

- 0

_{n}(k),n>1 and T:V→V defined by T(M)=M

^{t}(transpose of M).

i) Find the minimal polynomial of T. Is T diagonalisable when k = R,C,F

_{2}?

ii) Suppose k = R. Find the characteristic polynomial ch

_{T}.

I know that T

^{2}=T(M

^{t}))=M and that has got to help me find the minimal polynomial