JEE Main 2022 — Matrices Questions with Solutions

The number of matrices A = a b c d , where a , b , c , d ∈ - 1 , 0 , 1 , 2 , 3 , … … , 10 , such that…

Let X = 0 1 0 0 0 1 0 0 0 , Y = α l + β X + γ X 2 and Z = α 2 I - α β X + β 2 - &#94…

Let A be a matrix of order 3 × 3 and det A = 2 . Then det det ( A ) adj 5 adj A 3 is equal to _____.

Let A = 1 + i 1 - i 0 where i = - 1 . Then, the number of elements in the set n ∈ { 1 , 2 , … . , 100 } : A…

Let M = 0 - α α 0 , where α is a non-zero real number and N = ∑ k = 1 49 M 2 k . If I - M 2 N = -…

Let A = 4 - 2 α β . If A 2 + γ A + 18 I = O , then det A is equal to _______.

The probability that a randomly chosen 2 × 2 matrix with all the entries from the set of first 10 primes, is singu…

Let A = 1 a a 0 1 b 0 0 1 , a , b ∈ ℝ . If for some n ∈ N , A n = 1 48 2160 0 1 96 0 0 1 then n + a +…

Let A = 2 - 1 - 1 1 0 - 1 1 - 1 0 and B = A - I . If ω = 3 i - 1 2 , then the number of elements in the set n &#87…

Let A = 1 - 1 2 α and B = β 1 1 0 , α , β ∈ R . Let α 1 be the value of α which sat…