jee_main_2026_24_january_evening - Matrices Topics

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QUESTION #1 Adjoint and Inverse of a Matrix
Let f(x) = ∫ 7x¹⁰ + 9x⁸(1 + x² + 2x⁹)² dx, x > 0, x → 0 f(x) = 0 and f(1) = (1)/(4). If A = bmatrix 0 & 0 & 1 (1)/(4) & f'(1) & 1 α² & 4 & 1 bmatrix and B = adj(adj A) be such that |B| = 81, then α² is equal to
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