🛠️ JEE➗ Maths

Let the matrix \(A=\left[\begin{array}{lll}0 & 1 & 0 \\ 0 & 0 & 1 \\ 1 & 0 & 0\end{array}\right]…

Q1

Let the matrix \(A=\left[\begin{array}{lll}0 & 1 & 0 \\ 0 & 0 & 1 \\ 1 & 0 & 0\end{array}\right]\) and the matrix \(B_0=A^{49}+\) \(2 A^{98}\). If \(B_n=\operatorname{Adj}\left(B_{n-1}\right)\) for all \(n \geq 1\), then \(\operatorname{det}\left(B_4\right)\) is equal to

a

\(
3^{28}
\)

b

\(
3^{30}
\)

c

\(
3^{32}
\)

d

\(
3^{36}
\)

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