Let `R=([x,0,0],[0,y,0],[0,0,z])` be a non-zero `3times3` matrix,where `x sin theta=y sin(theta+(2 pi)/(3))=z sin(theta+(4 pi)/(3))!=0,theta in(0,2 pi)` .For a square matrix "M" ,let trace "(M)" denote the sum of all the diagonal entries of "M" .Then,among the statements:
(I) Trace (R) "=0
(II) If trace (adj(adj(R)) "=0" ,then "R" has exactly one non-zero entry.

Options

A. Both (I) and (II) are true
B. Only (II) is true
C. Only (I) is true
D. Neither (I) nor (II) is true