jee_main_2025_29_jan_morning - Matrices and Determinants Topics

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Sample Questions in this Chapter

QUESTION #0 Properties of Determinants
Let M and m respectively be the maximum and the minimum values of f (x) = | arrayc c c 1 + ^ 2 x & ^ 2 x & 4 4 x ^ 2 x & 1 + ^ 2 x & 4 4 x ^ 2 x & ^ 2 x & 1 + 4 4 x array |, x in R Then M⁴ -m⁴ is equal to :
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QUESTION #0 Cofactors and Determinant Value
Let A = [aᵢⱼ] = bmatrix ₅ 128 & ₄ 5 ₅ 8 & ₄ 25 bmatrix . If Aᵢⱼ is the cofactor of aᵢⱼ , Cᵢⱼ = Σk=1² aik Ajk , 1 ≤ i, j ≤ 2 , and C = [Cᵢⱼ] , then 8|C| 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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