The linear operation L(x) is defined by the cross product L(x) = b x X, where b=[0 1 0] and X=[xxx]' are three dimensional vectors. The 3 x 3 matrix M of this operation satisfies:
L(x)=M (x1 x2 x3)'
Then the eigen values of M are:
(a) 0, +1,-1
(b) 1, -1, 1
(c) i, -i, 0
(d) i, -i, 1
[EE, GATE-2007, 2 marks]