Question: (2 marks) 1 1 Let be a matrix M that has an eigenvector v1 = ,2 corresponding to the eigenvalue 1, and an eigenvector v2

(2 marks) 1 1 Let be a matrix M that has an eigenvector v1 = ,2 corresponding to the eigenvalue 1, and an eigenvector v2 = 2 corresponding to the 2 1 eigenvalue 2. You are given that rank(M) = 2. Is it possible to determine the characteristic polynomial for M? 0 Yes, it is possible to find the characteristic polynomial. O No, it is not possible to find the characteristic polynomial. If it is possible, determine the characteristic polynomial of M. If it is not possible, explain why it is not possible. Provide all reasoning for your answer. For ease oi typing, you may refer to the characterstic polynomial of M as a function of :1: instead of A

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