Matrices and Determinants: Challenging Problems for JEE Mains and Advanced скачать в хорошем качестве

Matrices and Determinants: Challenging Problems for JEE Mains and Advanced

In this LIVE session, we are challenging problems for JEE Mains and Advanced challenging problem series Problems Discussed: Matrices and Determinants Problem 1. Let A be a 2×3 matrix, whereas B be a 3 × 2 matrix. If det(AB) = 4, then the value of det(BA) is (A) −4 (B) 2 (C) 4 (D) 0 Problem 2.(JEE Advanced 2022) Q. Let p,q,r be nonzero real numbers that are, respectively, the 10th ,100th and 1000th terms of a harmonic progression. Consider the system of linear equations List I x+y+z =1 10x +100y +1000z = 0 qrx +pry +pqz = 0 List II A If q r =10, then the system of linear equations has P x = 0,y = 10 9 ,z = −1 9 as a solution B If p r ̸ =100, then the system of linear equations has Q x = 10 9 ,y = −1 9 ,z = 0 as a solution C If p q ̸ =10, then the system of linear equations has R infinitely many solutions D If p q =10, then the system of linear S nosolution T atleast one solution The correct option is: (A) (I) → (T); (II) → (R); (III) → (S); (IV) → (T) (B) (I) → (Q); (II) → (S); (III) → (S); (IV) → (R) (C) (I) → (Q); (II) → (R); (III) → (P); (IV) → (R) (D) (I) → (T); (II) → (S); (III) → (P); (IV) → (T) Problem 3.(Multi Correct Option) P is a non-singular matrix of order n × n such that 3PQPP−1 +P = 2P−1QP, then (A) P&Q both are identity matrices (B) det(P +Q) = 0 (C) PQP−1 = P−1QP is a singular matrix (D) P+Q is non-invertible matrix 1 Problem 4. Let A =[aij] and B = [bij] be a real matrix of order 3×3 such that ai1 + ai2 +ai3 = 1 and b1j +b2j +b3j = 1 for i,j = 1,2,3. Then the sum of all the entries of the matrix A100 + B100 is equal to Problem 5. Given Find A= 0 1 1 1 , v= a Tags: jee challenging questions jee advanced level problems jee mains tough questions hard maths problems for jee jee problem solving series advanced problem solving maths jee high level questions iit jee tough problems concept based jee questions jee mains 2026 January attempt solutions jee mains 2026 paper jee mains 2026 live jee mains 2026 january attempt jee mains 2026 jee 2026 jee mains preparation jee mains maths jee mains physics jee mains chemistry jee aspirants 2026 jee strategy 2026 jee mains tips jee mains motivation jee mains exam jee mains syllabus jee mains important questions jee mains revision jee mains mock test jee mains analysis jee mains expected questions jee mains rank boost