The linear operation L(x) is defined by the cross product L(x)=v×X , where b=[010]T and X=[x1x2x3]T are three dimensional vectors. The 3×3 matrix M of this operation satisfiesL(x)=M⎡⎢⎣x1x2x3⎤⎥⎦then the eigen values of M are

The linear operation L(x) is defined by the cross product L(x)=v×X ,

1.	The linear operation L(x) is defined by the cross product L(x)=v×X , where b=[010]T and X=[x1x2x3]T are three dimensional vectors. The 3×3 matrix M of this operation satisfiesL(x)=M⎡⎢⎣x1x2x3⎤⎥⎦then the eigen values of M are
Answer» The linear operation $L (x)$ is defined by the cross product $L (x) = v \times X$ , where $b = [010]^{T}$ and $X = [x_{1} x_{2} x_{3}]^{T}$ are three dimensional vectors. The $3 \times 3$ matrix $M$ of this operation satisfies $L (x) = M ⎡ ⎢ ⎣ \begin{matrix} x_{1} x_{2} x_{3} \end{matrix} ⎤ ⎥ ⎦$ then the eigen values of $M$ are