Let the matrix A=[ lll0 1 0 0 0 1 1 0 0 ] and the matrix B₀=A⁴⁹+2 A⁹⁸. If B n =A d j(B n-1) for all n ≥ 1, then det(B₄) is equal to:

Matrices and Determinants: JEE Main 2022 Mathematics question

JEE Main 2022 · 28 Jul, Morning shift · Q4536

JEE Main 202228 Jul, Morning shiftMathematicsMediumMatrices and Determinants245× since 2002

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}=A d j\left(B_{n-1}\right)

for all

n \geq 1

, then

\operatorname{det}\left(B_{4}\right)

is equal to :

JEE Main 2022 · 28 Jul, Morning shift · Q4536

JEE Main 202228 Jul, Morning shiftMathematicsMediumMatrices and Determinants245× since 2002

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}=A d j\left(B_{n-1}\right)

for all

n \geq 1

, then

\operatorname{det}\left(B_{4}\right)

is equal to :