問題詳情

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