JEE Advanced Matrices — previous year questions
13 questions from 2026, 2025, 2023, 2022, 2017, 2016, 2015, 2013, 2012, 2011.
- Let R denote the set of all real numbers and let i = √(-1). Consider the matrices S = 0 -1 1 0 and T = 1 1 0…
- Which one of the following matrices can be obtained by performing elementary row transformations on the 3 × 3…
- Consider the matrix P = 2 0 0 0 2 0 0 0 3 . Let the transpose of a matrix X be denoted by X^T. Then the…
- Let { a 3 b c 2 d 0 5 0 : a, b, c, d ∈ {0, 3, 5, 7, 11, 13, 17, 19} }. Then the number of invertible matrices…
- If M = 5/2 3/2 [6pt] -3/2 -1/2 , then which of the following matrices is equal to M²⁰²²?
- Let β be a real number. Consider the matrix A = [[β,0,1],[2,1,-2],[3,1,-2]]. If A^7 - (β-1)A^6 - βA^5 is a…
- How many 3 × 3 matrices M with entries from {0, 1, 2} are there, for which the sum of the diagonal entries of…
- Let P = 1 0 0 4 1 0 16 4 1 and I be the identity matrix of order 3. If Q = [qᵢⱼ] is a matrix such that P⁵⁰ -…
- Let z = (-1+√3i)/2, where i = √(-1), and r, s ∈ {1, 2, 3}. Let P = (-z)ʳ z²ˢ z²ˢ zʳ and I be the identity…
- Let X and Y be two arbitrary, 3 × 3, non-zero, skew-symmetric matrices and Z be an arbitrary 3 × 3, non zero,…
- Let ω be a complex cube root of unity with ω ≠ 1 and P = [pᵢⱼ] be a n × n matrix with pᵢⱼ = ωⁱ⁺ʲ. Then p² ≠…
- If P is a 3 × 3 matrix such that P^T = 2P + I, where P^T is the transpose of P and I is the 3 × 3 identity…
- Let M be a 3x3 matrix satisfying M[0;1;0] = [-1;2;3], M[1;-1;0] = [1;1;-1], and M[1;1;1] = [0;0;12]. Then the…