Consider a matrix \(\mathrm{A}=\left[\begin{array}{cc}3 & 5 \\ -2 & -4\end{array}\right]\)
consider the following statements on characteristic polynomial, Eigen Values and Eigen Vectors.
(A) The characteristic polynomial is λ2 + λ - 2
(B) The characteristic polynomial is λ2 - 2λ - 4 and the characteristic root or Eigen Values are λ* = 2 and 1
(C) The characteristic polynomial is λ2 - λ + 2 and the characteristic root or Eigen Values are λ* = 1 and 2
(D) The characteristic root or Eigen Values are λ* = -2 and 1
Choose the correct answer from the options given below :
1
(A), (C) and (D) Only
2
(B) and (D) Only
3
(B) and (C) Only
4
(A) and (D) Only