Q128
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 \[ L ( x ) = M [ array*20c x_1 \\ x_2 \\ x_3 array ].\] Then the eigen values of M are
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
Then the eigen values of M are
A.
0, +1, -1
B.
1, -1, 1
C.
i, -i, 1
D.
i, -i, 0
AnswerAnswer: Option D
Solution
Answer: Option D
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