The linear operation L(x) is defined by the cross product L(x) = b × X, where b = [0 1 0]^T and X = [x₁x₂x₃]^T are three dimensional vectors. The 3 × 3 matrix M of this operation satisfies \[{\text{L}}\left( {\text{x}} \right) = {\text{M}}\left[ {\begin{array}{*{20}{c}} {{{\text{x}}_1}} \\ {{{\text{x}}_2}} \\ {{{\text{x}}_3}} \end{array}} \right].\]
Then the eigen values of M are

A. 0, +1, -1

B. 1, -1, 1

C. i, -i, 1

D. i, -i, 0

Answer: Option D