JEE Advanced 2019 Paper 2 Mathematics Q1

Mathematics

Problem

Let P₁ = I, P₂, …, P₆ be the six 3 × 3 permutation matrices displayed in the paper and X = Σₖ₌₁⁶ Pₖ [[2, 1, 3], [1, 0, 2], [3, 2, 1]] Pₖᵀ, where Pₖᵀ denotes the transpose of the matrix Pₖ. Then which of the following options is/are correct?

Browse the problem library