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Matrices and Determinants question

2025 · 7 Apr · Shift 1 · Q33

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JEE Main
Mathematics
Matrices and Determinants
2025 · 7 Apr · Shift 1 · Q33

Matrices and Determinants question

2025 · 7 Apr · Shift 1 · Q33

JEE MainMathematicsMatrices and DeterminantsMCQ+4 / −1

Let

A

be a

3 \times 3

matrix such that

|\operatorname{adj}(\operatorname{adj}(\operatorname{adj} \mathrm{A}))|=81

. If

S=\left\{n \in \mathbb{Z}:(|\operatorname{adj}(\operatorname{adj} A)|)^{\frac{(n-1)^2}{2}}=|A|^{\left(3 n^2-5 n-4\right)}\right\}

, then

\sum_{n \in S}\left|A^{\left(n^2+n\right)}\right|

is equal to :

A
820
B
866
C
750
D
732

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