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Matrices and Determinants question

2024 · 31 Jan · Shift 2 · Q59
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Matrices and Determinants question

2024 · 31 Jan · Shift 2 · Q59

JEE MainMathematicsMatrices and DeterminantsNumerical+4 / −1
Let A be a 3×33 \times 33×3 matrix and det⁡(A)=2\operatorname{det}(A)=2det(A)=2. If n=det⁡(adj⁡(adj⁡(…..(adj⁡A))⏟2024− times ))n=\operatorname{det}(\underbrace{\operatorname{adj}(\operatorname{adj}(\ldots . .(\operatorname{adj} A))}_{2024-\text { times }}))n=det(2024− times adj(adj(…..(adjA))​​)), then the remainder when nnn is divided by 9 is equal to ‾\underline{\hspace{2cm}}​.
Numerical answer
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