jee_main_2026_22_january_morning - Matrices and Determinants Topics

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QUESTION #13 Properties of Determinants
If A= bmatrix2 & 3 3 & 5 bmatrix, then the determinant of the matrix (A²⁰²⁵-3A²⁰²⁴+A²⁰²³) is
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QUESTION #22 Adjoint and Determinant
Let A be a 3 × 3 matrix such that A + AT = O. If A [ arrayl 1 - 1 0 array ] = [ arrayl 3 3 2 array ], A ^ 2 [ arrayl 1 - 1 0 array ] = [ arrayl - 3 1 9 - 2 4 array ] and (adj(2adj(A + I))) = (2)α. (3)β. (11)γ, α, β, γ are non-negative integers, then α + β + γ is equal to ____
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JEE Physics: Waves (+15.5%) | Electrostatics: Concentric Shells (-29.7%) | Modern Physics: Photoelectric Clones (+34.2%) | Mathematics: Definite Integrals (+18.1%) | Chemistry: Coordination Splitting (-11.4%) | JEE Physics: Waves (+15.5%) | Electrostatics: Concentric Shells (-29.7%) | Modern Physics: Photoelectric Clones (+34.2%) | Mathematics: Definite Integrals (+18.1%) | Chemistry: Coordination Splitting (-11.4%)

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