Let f Qn Q be the endomorphism given by the following matrix with respect to the standard basis n 2 Determine all subspaces of Q

Question

Let f Qn Q be the endomorphism given by the following matrix with respect to the standard basis n 2 Determine all subspaces of Q that are f stable 0 0 2 00 1 CH 10 Tip Use the fact that the polynomial X 2 in Q X is irreducible for n 1

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