Which of the following statements hold for the minimal polynomial of a matrix B. (i) The minimal polynomial of a matrix B divides the characteristic polynomial of the matrix B. (ii) The minimal polynomial of a matrix B is a monic polynomial of the smallest degree in the set {f(1) f(B)=0}. (iii) The minimal polynomial of a matrix B divides every polynomial which annihilates matrix B. A. Only (i) and (ii) B. None of the given statements. C. Only (i) and (iii) D. All of the given statements. E. Only (ii) and (iii)

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