jee_main_2026_22_january_evening - Matrices and Determinants Topics

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

Sample Questions in this Chapter

QUESTION #1 System of Linear Equations
Let n be the number obtained on rolling a fair die. If the probability that the system x-ny+z=6 x+(n-2)y+(n+1)z=8 (n-1)y+z=1 has a unique solution is (k)/(6), then the sum of k and all possible values of n is:
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QUESTION #9 Inverse of Matrix and Adjoint
If X = bmatrix x y z bmatrix is a solution of the system of equations AX = B, where adj A = bmatrix 4 & 2 & 2 -5 & 0 & 5 1 & -2 & 3 bmatrix and B = bmatrix 4 0 2 bmatrix, then |x+y+z| 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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