JEE Main 2021 — Matrices Questions with Solutions

Let P = 3 - 1 - 2 2 0 α 3 - 5 0 , where α ∈ R . Suppose Q = q i j is a matrix satisfying P Q = k I 3 fo…

Let M = A = a b c d : a , b , c , d ∈ ± 3 , ± 2 , ± 1 , 0 . Define f : M → Z , as f A = det…

If A = 0 - tan θ 2 tan θ 2 0 and I 2 + A I 2 - A - 1 = a - b b a , then 13 a 2 + b 2 is equal to _____ .

Let A = 1 0 0 0 1 1 1 0 0 . Then A 2025 - A 2020 is equal to

Let A = 1 2 - 1 4 . If A - 1 = α I + β A ,   α , β ∈ R ,   I is a 2 × 2 identi…

If the matrix A = 1 0 0 0 2 0 3 0 - 1 satisfies the equation A 20 + α A 19 + β A = 1 0 0 0 4 0 0 0 1 for some…

If for the matrix, A = 1 - α α β ,   A A T = I 2 , then the value of α 4 + β 4 is :

If A = 1 5 2 5 - 2 5 1 5 , B = 1 0 i 1 , i = - 1 , and Q = A T B A , then the inverse of the matrix A Q 2021 A T is equ…

Let I be an identity matrix of order 2 × 2 and P = 2 - 1 5 - 3 . Then the value of n ∈ N for which P n = 5 I…

Let M be any 3 × 3 matrix with entries from the set 0 , 1 , 2 . The maximum number of such matrices, for which the…