jee_main_2025_08_april_evening - Matrices and Determinants Topics

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Sample Questions in this Chapter

QUESTION #52 System of Linear Equations
Let α be a solution of x² + x + 1 = 0, and for some a and b in R, [4 a b] bmatrix1 & 16 & 13 -1 & -1 & 2 -2 & -14 & -8 bmatrix = [0 0 0]. If (4)/(α⁴) + (m)/(α^a) + (n)/(α^b) = 3, then m + n is equal to
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QUESTION #69 Determinant Properties of Adjoint
Let A = bmatrix 2 & 2 + p & 2 + p + q 4 & 6 + 2p & 8 + 3p + 2q 6 & 12 + 3p & 20 + 6p + 3q bmatrix. If ( adj(adj(3A)) ) = 2^m · 3ⁿ, m, n in N, then m + n 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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