11. (5%) Suppose that the characteristic polynomial of a matrixA is
p(λ)=λ(λ-1)(λ-2)2(λ+3)3. Which of the following statements about the matrix A is correct?
(A) The size of A is 4 X 4
(B) A is invertible
(C) det( A ) =-128
(D) (2I -A)x= 0 has nontrivial solutions
(E) A has nullity O
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