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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%)

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 + lambda y + 3z = 12 100x - 47y + mu z = 212 has infinitely many solutions, then mu - 2lambda is equal to :
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QUESTION #74 Properties of Matrices and Adjoints
Let A be a 3 times 3 matrix such that mathbfX^mathrmTmathbfAmathbfX = mathbf0 for all nonzero 3 times 1 matrices mathbfX = beginbmatrix x \\ y \\ z endbmatrix . If A beginbmatrix 1\\ 1\\ 1 endbmatrix = beginbmatrix 1\\ 4\\ -5 endbmatrix, Abeginbmatrix 1\\ 2\\ 1 endbmatrix = beginbmatrix 0\\ 4\\ -8 endbmatrix, and det(mathrmadj(2(A + I))) = 2^alpha3^beta5^gamma for alpha, beta, gamma in mathbbN, then alpha^2 + beta^2 + gamma^2 is ________.
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