jee_main_2025_02_april_morning - Matrices and Determinants Topics

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

Sample Questions in this Chapter

QUESTION #0 Idempotent Matrices
Let A = bmatrix α & -1 6 & β bmatrix, α > 0, such that (A) = 0 and α + β = 1. If I denotes the 2 × 2 identity matrix, then the matrix (I + A)⁸ is:
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QUESTION #0 System of Linear Equations
If the system of linear equations 3x + y + β z = 3 2x + α y - z = -3 x + 2y + z = 4 has infinitely many solutions, then the value of 22β - 9α is:
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QUESTION #0 Properties of Adjoint
Let a in R and A be a matrix of order 3 × 3 such that (A) = -4 and A + I = bmatrix 1 & a & 1 2 & 1 & 0 a & 1 & 2 bmatrix, where I is the identity matrix of order 3 × 3. If ((a+1)adj((a-1)A)) is 2^m 3ⁿ, m, n in 0, 1, 2, , 20, then m+n is equal to:
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Rankbit System
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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