Let T be a linear operator on a finite-dimensional vector space V, and let x be a
Chapter 7, Problem 15(choose chapter or problem)
Let T be a linear operator on a finite-dimensional vector space V, and let x be a nonzero vector in V. Prove the following results. (a) The vector x has a unique T-annihilator. (b) The T-annihilator of X divides any polynomial git) for which 9(T) = T(). (c) If p(t) is the T-annihilator of x and W is the T-cyclic subspace generated by x, then />(
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