jee_main_2024_29_january_evening - Matrices and Determinants Topics

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Sample Questions in this Chapter

QUESTION #1 Properties of Determinants
Let A = bmatrix 2 & 1 & 2 6 & 2 & 11 3 & 3 & 2 bmatrix and P = bmatrix 1 & 2 & 0 5 & 0 & 2 7 & 1 & 5 bmatrix. The sum of the prime factors of |P⁻¹AP - 2I| is equal to
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QUESTION #22 System of Linear Equations
Let for any three distinct consecutive terms a, b, c of an A.P, the lines ax + by + c = 0 be concurrent at the point P and Q (α, β) be a point such that the system of equations x + y + z = 6, 2 x + 5 y + α z = β and x + 2y + 3z = 4 has infinitely many solutions. Then (PQ)² 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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