jee_main_2025_24_jan_morning - Matrices and Determinants Topics

Master these core formulas and structures to solve almost any past paper question.

Sample Questions in this Chapter

QUESTION #70 System of Linear Equations
If the system of equations 2x - y + z = 4 5x + λ y + 3z = 12 100x - 47y + μ z = 212 has infinitely many solutions, then μ - 2λ is equal to :
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QUESTION #0 Properties of Matrices and Adjoints
Let A be a 3 × 3 matrix such that XTAX = 0 for all nonzero 3 × 1 matrices X = bmatrix x y z bmatrix. If A bmatrix 1 1 1 bmatrix = bmatrix 1 4 -5 bmatrix, A bmatrix 1 2 1 bmatrix = bmatrix 0 4 -8 bmatrix, and (adj(2(A + I))) = 2α3β5γ for α, β, γ in N, then α² + β² + γ² is ________.
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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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