Let \({\rm{A}} = \left[ {\begin{array}{*{20}{c}}{{\rm{cos\;\alpha }}}&{ - {\rm{sin\;\alpha }}}\\{{\rm{sin\;\alpha }}}&{{\rm{cos\;\alpha }}}\end{array}} \right],\) (α ∈ R) such that \({A^{32}} = \left[ {\begin{array}{*{20}{c}}0&{ - 1}\\1&0\end{array}} \right]\) then a value of α is:

Let \({\rm{A}} = \left[ {\begin{array}{*{20}{c}}{{\rm{cos\;\alpha }}}&

1.	Let \({\rm{A}} = \left[ {\begin{array}{{20}{c}}{{\rm{cos\;\alpha }}}&{ - {\rm{sin\;\alpha }}}\\{{\rm{sin\;\alpha }}}&{{\rm{cos\;\alpha }}}\end{array}} \right],\) (α ∈ R) such that \({A^{32}} = \left[ {\begin{array}{{20}{c}}0&{ - 1}\\1&0\end{array}} \right]\) then a value of α is:
A.	\(\frac{{\rm{\pi }}}{{32}}\)
B.	0
C.	\(\frac{{\rm{\pi }}}{{64}}\)
D.	\(\frac{{\rm{\pi }}}{{16}}\)
Answer» D. \(\frac{{\rm{\pi }}}{{16}}\)