For the matrix A satisfying the equation given below, the eigen values are
\[\left[ {\text{A}} \right]\left[ {\begin{array}{*{20}{c}} 1&2&3 \\ 7&8&9 \\ 4&5&6 \end{array}} \right] = \left[ {\begin{array}{*{20}{c}} 1&2&3 \\ 4&5&6 \\ 7&8&9 \end{array}} \right]\]

A. (1, -j, j)

B. (1, 1, 0)

C. (1, 1, -1)

D. (1, 0, 0)

Answer: Option C