JEE Main 2020 — Matrices Questions with Solutions

Let A = X = x , y , z T : P X = 0   and   x 2 + y 2 + z 2 = 1 where P = 1 2 1 - 2 3 - 4 1 9 - 1 then the set A

Let θ = π 5 and A = cosθ sinθ - sinθ cosθ . If B = A + A 4 , then det B :

Let α be a root of the equation x 2 + x + 1 = 0 and the matrix A = 1 3 1 1 1 1 α α 2 1 α 2 α 4…

Let a ,   b ,   c ∈ R be all non-zero and satisfies a 3 + b 3 + c 3 = 2 . If the matrix A = a b c b c a…

Let A = x 1 1 0 ,   x   ε   R and A 4 = a i j . If a 11 = 109 , then a 22 is equal to_____________.

If A = cos θ  isin θ isin θ cos θ ,     θ = π 24 and A 5 = a b c d , where…

If A = 2 2 9 4 and I = 1 0 0 1 , then 10   A - 1 , is equal to.

Let A be a 3 × 3 matrix such that adj A = 2 - 1 1 - 1 0 2 1 - 2 - 1 and B = adj a d j A . If | A | = λ and B…

The number of all 3 × 3 matrices A , with entries from the set - 1 , 0 , 1 such that the sum of the diagonal eleme…

If A = 1 1 2 1 3 4 1 - 1 3 , B = a d j A and C = 3 A , then a d j B C is equal to