Let the matrix \( A=\left[\begin{array}{lll}0 & 1 & 0 \\ 0 & 0 & 1 \\ 1 & 0 & 0\end{array}\right...
Let the matrix \( A=\left[\begin{array}{lll}0 & 1 & 0 \\ 0 & 0 & 1 \\ 1 & 0 & 0\end{array}\right] \) and the matrix \( \mathrm{B}_{0}=\mathrm{A}^{49}+ \) \( 2 \mathrm{~A}^{98} \). If \( \mathrm{B}_{n}=\operatorname{Adj}\left(\mathrm{B}_{n-1}\right) \) for all \( \mathrm{n} \geq 1 \), then \( \operatorname{det}\left(\mathrm{B}_{4}\right) \) is equal to
(a) \( 3^{28} \)
(b) \( 3^{30} \)
(c) \( 3^{32} \)
(d) \( 3^{36} \)
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