The matrix \[{\text{M}} = \left[ {\begin{array}{*{20}{c}} { - 2}&2&{ - 3} \\ 2&1&{ - 6} \\ { - 1}&{ - 2}&0 \end{array}} \right]\]    has eigen values -3, -3, 5. An eigen vector corresponding to the eigen value 5 is [1 2 -1]^T. One of the eigen vectors of the matrix M³ is

A. [1 8 -1]^T

B. [1 2 -1]^T

C. \[{\left[ {\begin{array}{*{20}{c}} 1&{\sqrt[3]{2}}&{ - 1} \end{array}} \right]^{\text{T}}}\]

D. [1 1 -1]^T

Answer: Option B