Question: Suppose that a matrix 4 has characteristic polynomial p(a) = 2* - 31 + 512 - 12. Consider the following statements. (i) A is

Suppose that a matrix 4 has characteristic polynomial p(a) = 2* -

Suppose that a matrix 4 has characteristic polynomial p(a) = 2* - 31 + 512 - 12. Consider the following statements. (i) A is a 3 x 3 matrix. (ii) 2 = 2 is an eigenvalue of A. (iii) That same p(2) is also the characteristic polynomial of A. Determine which of the above statements are True (1) or False (2).

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