Question: Let T be a linear operator on R which is represented in the standard ordered basis by the matrix 6 -3 4 -1 -2 10

Let T be a linear operator on R" which is represented in the standard ordered basis by the matrix 6 -3 4 -1 -2 10 -5 Express the minimal polynomial p for T in the form p = pip2, where p1 and p2 are monic and irreducible over R. Let W, be the null space of p; (T). Find bases B; for the subspace Wi. If T, is the operator induced on W; by T, find the matrix of T, in the basis B; Here, i = 1, 2
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